एलजेब्रा उदाहरण

$f (x) = \frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9$

चरण 1

$f (x) = \frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9$ को एक समीकरण के रूप में लिखें.

$y = \frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9$

चरण 2

चर को एकदूसरे के साथ बदलें.

$x = \frac{{(y - 7)}^{\frac{1}{5}}}{7} + 9$

चरण 3

$y$ के लिए हल करें.

और स्टेप्स के लिए टैप करें…

चरण 3.1

समीकरण को $\frac{{(y - 7)}^{\frac{1}{5}}}{7} + 9 = x$ के रूप में फिर से लिखें.

$\frac{{(y - 7)}^{\frac{1}{5}}}{7} + 9 = x$

चरण 3.2

$\frac{{(y - 7)}^{\frac{1}{5}}}{7} + 9$ को सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 3.2.1

$9$ को एक सामान्य भाजक वाली भिन्न के रूप में लिखने के लिए, $\frac{7}{7}$ से गुणा करें.

$\frac{{(y - 7)}^{\frac{1}{5}}}{7} + 9 \cdot \frac{7}{7} = x$

चरण 3.2.2

$9$ और $\frac{7}{7}$ को मिलाएं.

$\frac{{(y - 7)}^{\frac{1}{5}}}{7} + \frac{9 \cdot 7}{7} = x$

चरण 3.2.3

सामान्य भाजक पर न्यूमेरेटरों को जोड़ें.

$\frac{{(y - 7)}^{\frac{1}{5}} + 9 \cdot 7}{7} = x$

चरण 3.2.4

$9$ को $7$ से गुणा करें.

$\frac{{(y - 7)}^{\frac{1}{5}} + 63}{7} = x$

चरण 3.3

समीकरण के दोनों पक्षों को $7$ से गुणा करें.

$7 \frac{{(y - 7)}^{\frac{1}{5}} + 63}{7} = 7 x$

चरण 3.4

बाईं ओर को सरल बनाएंं.

और स्टेप्स के लिए टैप करें…

चरण 3.4.1

$7$ का उभयनिष्ठ गुणनखंड रद्द करें.

और स्टेप्स के लिए टैप करें…

चरण 3.4.1.1

उभयनिष्ठ गुणनखंड रद्द करें.

$7 \frac{{(y - 7)}^{\frac{1}{5}} + 63}{7} = 7 x$

चरण 3.4.1.2

व्यंजक को फिर से लिखें.

${(y - 7)}^{\frac{1}{5}} + 63 = 7 x$

चरण 3.5

समीकरण के दोनों पक्षों से $63$ घटाएं.

${(y - 7)}^{\frac{1}{5}} = 7 x - 63$

चरण 3.6

बाईं ओर के भिन्नात्मक घातांक को समाप्त करने के लिए समीकरण के प्रत्येक पक्ष को $5$ की घात तक बढ़ाएँ.

${({(y - 7)}^{\frac{1}{5}})}^{5} = {(7 x - 63)}^{5}$

चरण 3.7

घातांक को सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 3.7.1

बाईं ओर को सरल बनाएंं.

और स्टेप्स के लिए टैप करें…

चरण 3.7.1.1

${({(y - 7)}^{\frac{1}{5}})}^{5}$ को सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 3.7.1.1.1

घातांक को ${({(y - 7)}^{\frac{1}{5}})}^{5}$ में गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 3.7.1.1.1.1

घात नियम लागू करें और घातांक गुणा करें, ${(a^{m})}^{n} = a^{m n}$ .

${(y - 7)}^{\frac{1}{5} \cdot 5} = {(7 x - 63)}^{5}$

चरण 3.7.1.1.1.2

$5$ का उभयनिष्ठ गुणनखंड रद्द करें.

और स्टेप्स के लिए टैप करें…

चरण 3.7.1.1.1.2.1

उभयनिष्ठ गुणनखंड रद्द करें.

${(y - 7)}^{\frac{1}{5} \cdot 5} = {(7 x - 63)}^{5}$

चरण 3.7.1.1.1.2.2

व्यंजक को फिर से लिखें.

${(y - 7)}^{1} = {(7 x - 63)}^{5}$

चरण 3.7.1.1.2

सरल करें.

$y - 7 = {(7 x - 63)}^{5}$

चरण 3.7.2

दाईं ओर को सरल बनाएंं.

और स्टेप्स के लिए टैप करें…

चरण 3.7.2.1

${(7 x - 63)}^{5}$ को सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 3.7.2.1.1

द्विपद प्रमेय का प्रयोग करें.

$y - 7 = {(7 x)}^{5} + 5 {(7 x)}^{4} \cdot - 63 + 10 {(7 x)}^{3} {(- 63)}^{2} + 10 {(7 x)}^{2} {(- 63)}^{3} + 5 (7 x) {(- 63)}^{4} + {(- 63)}^{5}$

चरण 3.7.2.1.2

प्रत्येक पद को सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 3.7.2.1.2.1

उत्पाद नियम को $7 x$ पर लागू करें.

$y - 7 = 7^{5} x^{5} + 5 {(7 x)}^{4} \cdot - 63 + 10 {(7 x)}^{3} {(- 63)}^{2} + 10 {(7 x)}^{2} {(- 63)}^{3} + 5 (7 x) {(- 63)}^{4} + {(- 63)}^{5}$

चरण 3.7.2.1.2.2

$7$ को $5$ के घात तक बढ़ाएं.

$y - 7 = 16807 x^{5} + 5 {(7 x)}^{4} \cdot - 63 + 10 {(7 x)}^{3} {(- 63)}^{2} + 10 {(7 x)}^{2} {(- 63)}^{3} + 5 (7 x) {(- 63)}^{4} + {(- 63)}^{5}$

चरण 3.7.2.1.2.3

उत्पाद नियम को $7 x$ पर लागू करें.

$y - 7 = 16807 x^{5} + 5 (7^{4} x^{4}) \cdot - 63 + 10 {(7 x)}^{3} {(- 63)}^{2} + 10 {(7 x)}^{2} {(- 63)}^{3} + 5 (7 x) {(- 63)}^{4} + {(- 63)}^{5}$

चरण 3.7.2.1.2.4

$7$ को $4$ के घात तक बढ़ाएं.

$y - 7 = 16807 x^{5} + 5 (2401 x^{4}) \cdot - 63 + 10 {(7 x)}^{3} {(- 63)}^{2} + 10 {(7 x)}^{2} {(- 63)}^{3} + 5 (7 x) {(- 63)}^{4} + {(- 63)}^{5}$

चरण 3.7.2.1.2.5

$2401$ को $5$ से गुणा करें.

$y - 7 = 16807 x^{5} + 12005 x^{4} \cdot - 63 + 10 {(7 x)}^{3} {(- 63)}^{2} + 10 {(7 x)}^{2} {(- 63)}^{3} + 5 (7 x) {(- 63)}^{4} + {(- 63)}^{5}$

चरण 3.7.2.1.2.6

$- 63$ को $12005$ से गुणा करें.

$y - 7 = 16807 x^{5} - 756315 x^{4} + 10 {(7 x)}^{3} {(- 63)}^{2} + 10 {(7 x)}^{2} {(- 63)}^{3} + 5 (7 x) {(- 63)}^{4} + {(- 63)}^{5}$

चरण 3.7.2.1.2.7

उत्पाद नियम को $7 x$ पर लागू करें.

$y - 7 = 16807 x^{5} - 756315 x^{4} + 10 (7^{3} x^{3}) {(- 63)}^{2} + 10 {(7 x)}^{2} {(- 63)}^{3} + 5 (7 x) {(- 63)}^{4} + {(- 63)}^{5}$

चरण 3.7.2.1.2.8

$7$ को $3$ के घात तक बढ़ाएं.

$y - 7 = 16807 x^{5} - 756315 x^{4} + 10 (343 x^{3}) {(- 63)}^{2} + 10 {(7 x)}^{2} {(- 63)}^{3} + 5 (7 x) {(- 63)}^{4} + {(- 63)}^{5}$

चरण 3.7.2.1.2.9

$343$ को $10$ से गुणा करें.

$y - 7 = 16807 x^{5} - 756315 x^{4} + 3430 x^{3} {(- 63)}^{2} + 10 {(7 x)}^{2} {(- 63)}^{3} + 5 (7 x) {(- 63)}^{4} + {(- 63)}^{5}$

चरण 3.7.2.1.2.10

$- 63$ को $2$ के घात तक बढ़ाएं.

$y - 7 = 16807 x^{5} - 756315 x^{4} + 3430 x^{3} \cdot 3969 + 10 {(7 x)}^{2} {(- 63)}^{3} + 5 (7 x) {(- 63)}^{4} + {(- 63)}^{5}$

चरण 3.7.2.1.2.11

$3969$ को $3430$ से गुणा करें.

$y - 7 = 16807 x^{5} - 756315 x^{4} + 13613670 x^{3} + 10 {(7 x)}^{2} {(- 63)}^{3} + 5 (7 x) {(- 63)}^{4} + {(- 63)}^{5}$

चरण 3.7.2.1.2.12

उत्पाद नियम को $7 x$ पर लागू करें.

$y - 7 = 16807 x^{5} - 756315 x^{4} + 13613670 x^{3} + 10 (7^{2} x^{2}) {(- 63)}^{3} + 5 (7 x) {(- 63)}^{4} + {(- 63)}^{5}$

चरण 3.7.2.1.2.13

$7$ को $2$ के घात तक बढ़ाएं.

$y - 7 = 16807 x^{5} - 756315 x^{4} + 13613670 x^{3} + 10 (49 x^{2}) {(- 63)}^{3} + 5 (7 x) {(- 63)}^{4} + {(- 63)}^{5}$

चरण 3.7.2.1.2.14

$49$ को $10$ से गुणा करें.

$y - 7 = 16807 x^{5} - 756315 x^{4} + 13613670 x^{3} + 490 x^{2} {(- 63)}^{3} + 5 (7 x) {(- 63)}^{4} + {(- 63)}^{5}$

चरण 3.7.2.1.2.15

$- 63$ को $3$ के घात तक बढ़ाएं.

$y - 7 = 16807 x^{5} - 756315 x^{4} + 13613670 x^{3} + 490 x^{2} \cdot - 250047 + 5 (7 x) {(- 63)}^{4} + {(- 63)}^{5}$

चरण 3.7.2.1.2.16

$- 250047$ को $490$ से गुणा करें.

$y - 7 = 16807 x^{5} - 756315 x^{4} + 13613670 x^{3} - 122523030 x^{2} + 5 (7 x) {(- 63)}^{4} + {(- 63)}^{5}$

चरण 3.7.2.1.2.17

$7$ को $5$ से गुणा करें.

$y - 7 = 16807 x^{5} - 756315 x^{4} + 13613670 x^{3} - 122523030 x^{2} + 35 x {(- 63)}^{4} + {(- 63)}^{5}$

चरण 3.7.2.1.2.18

$- 63$ को $4$ के घात तक बढ़ाएं.

$y - 7 = 16807 x^{5} - 756315 x^{4} + 13613670 x^{3} - 122523030 x^{2} + 35 x \cdot 15752961 + {(- 63)}^{5}$

चरण 3.7.2.1.2.19

$15752961$ को $35$ से गुणा करें.

$y - 7 = 16807 x^{5} - 756315 x^{4} + 13613670 x^{3} - 122523030 x^{2} + 551353635 x + {(- 63)}^{5}$

चरण 3.7.2.1.2.20

$- 63$ को $5$ के घात तक बढ़ाएं.

$y - 7 = 16807 x^{5} - 756315 x^{4} + 13613670 x^{3} - 122523030 x^{2} + 551353635 x - 992436543$

चरण 3.8

$y$ वाले सभी पदों को समीकरण के दाईं ओर ले जाएं.

और स्टेप्स के लिए टैप करें…

चरण 3.8.1

समीकरण के दोनों पक्षों में $7$ जोड़ें.

$y = 16807 x^{5} - 756315 x^{4} + 13613670 x^{3} - 122523030 x^{2} + 551353635 x - 992436543 + 7$

चरण 3.8.2

$- 992436543$ और $7$ जोड़ें.

$y = 16807 x^{5} - 756315 x^{4} + 13613670 x^{3} - 122523030 x^{2} + 551353635 x - 992436536$

चरण 4

अंतिम उत्तर दिखाने के लिए $y$ को $f^{- 1} (x)$ से बदलें.

$f^{- 1} (x) = 16807 x^{5} - 756315 x^{4} + 13613670 x^{3} - 122523030 x^{2} + 551353635 x - 992436536$

चरण 5

सत्यापित करें कि क्या $f^{- 1} (x) = 16807 x^{5} - 756315 x^{4} + 13613670 x^{3} - 122523030 x^{2} + 551353635 x - 992436536$ , $f (x) = \frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9$ का व्युत्क्रम है.

और स्टेप्स के लिए टैप करें…

चरण 5.1

व्युत्क्रम सत्यापित करने के लिए, जांचें कि क्या $f^{- 1} (f (x)) = x$ और $f (f^{- 1} (x)) = x$ .

चरण 5.2

$f^{- 1} (f (x))$ का मान ज्ञात करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.1

समग्र परिणाम फलन सेट करें.

$f^{- 1} (f (x))$

चरण 5.2.2

$f^{- 1}$ में $f$ का मान प्रतिस्थापित करके $f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)$ का मान ज्ञात करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = 16807 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{5} - 756315 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{4} + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3

प्रत्येक पद को सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.1

$9$ को एक सामान्य भाजक वाली भिन्न के रूप में लिखने के लिए, $\frac{7}{7}$ से गुणा करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = 16807 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9 \cdot \frac{7}{7})}^{5} - 756315 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{4} + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.2

$9$ और $\frac{7}{7}$ को मिलाएं.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = 16807 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + \frac{9 \cdot 7}{7})}^{5} - 756315 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{4} + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.3

सामान्य भाजक पर न्यूमेरेटरों को जोड़ें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = 16807 {(\frac{{(x - 7)}^{\frac{1}{5}} + 9 \cdot 7}{7})}^{5} - 756315 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{4} + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.4

$9$ को $7$ से गुणा करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = 16807 {(\frac{{(x - 7)}^{\frac{1}{5}} + 63}{7})}^{5} - 756315 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{4} + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.5

उत्पाद नियम को $\frac{{(x - 7)}^{\frac{1}{5}} + 63}{7}$ पर लागू करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = 16807 (\frac{{({(x - 7)}^{\frac{1}{5}} + 63)}^{5}}{7^{5}}) - 756315 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{4} + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.6

$7$ को $5$ के घात तक बढ़ाएं.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = 16807 (\frac{{({(x - 7)}^{\frac{1}{5}} + 63)}^{5}}{16807}) - 756315 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{4} + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.7

$16807$ का उभयनिष्ठ गुणनखंड रद्द करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.7.1

उभयनिष्ठ गुणनखंड रद्द करें.

चरण 5.2.3.7.2

व्यंजक को फिर से लिखें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = {({(x - 7)}^{\frac{1}{5}} + 63)}^{5} - 756315 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{4} + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.8

द्विपद प्रमेय का प्रयोग करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = {({(x - 7)}^{\frac{1}{5}})}^{5} + 5 {({(x - 7)}^{\frac{1}{5}})}^{4} \cdot 63 + 10 {({(x - 7)}^{\frac{1}{5}})}^{3} \cdot 63^{2} + 10 {({(x - 7)}^{\frac{1}{5}})}^{2} \cdot 63^{3} + 5 {(x - 7)}^{\frac{1}{5}} \cdot 63^{4} + 63^{5} - 756315 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{4} + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.9

प्रत्येक पद को सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.9.1

घातांक को ${({(x - 7)}^{\frac{1}{5}})}^{5}$ में गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.9.1.1

घात नियम लागू करें और घातांक गुणा करें, ${(a^{m})}^{n} = a^{m n}$ .

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = {(x - 7)}^{\frac{1}{5} \cdot 5} + 5 {({(x - 7)}^{\frac{1}{5}})}^{4} \cdot 63 + 10 {({(x - 7)}^{\frac{1}{5}})}^{3} \cdot 63^{2} + 10 {({(x - 7)}^{\frac{1}{5}})}^{2} \cdot 63^{3} + 5 {(x - 7)}^{\frac{1}{5}} \cdot 63^{4} + 63^{5} - 756315 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{4} + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.9.1.2

$5$ का उभयनिष्ठ गुणनखंड रद्द करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.9.1.2.1

उभयनिष्ठ गुणनखंड रद्द करें.

चरण 5.2.3.9.1.2.2

व्यंजक को फिर से लिखें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = (x - 7) + 5 {({(x - 7)}^{\frac{1}{5}})}^{4} \cdot 63 + 10 {({(x - 7)}^{\frac{1}{5}})}^{3} \cdot 63^{2} + 10 {({(x - 7)}^{\frac{1}{5}})}^{2} \cdot 63^{3} + 5 {(x - 7)}^{\frac{1}{5}} \cdot 63^{4} + 63^{5} - 756315 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{4} + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.9.2

सरल करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x - 7 + 5 {({(x - 7)}^{\frac{1}{5}})}^{4} \cdot 63 + 10 {({(x - 7)}^{\frac{1}{5}})}^{3} \cdot 63^{2} + 10 {({(x - 7)}^{\frac{1}{5}})}^{2} \cdot 63^{3} + 5 {(x - 7)}^{\frac{1}{5}} \cdot 63^{4} + 63^{5} - 756315 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{4} + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.9.3

घातांक को ${({(x - 7)}^{\frac{1}{5}})}^{4}$ में गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.9.3.1

घात नियम लागू करें और घातांक गुणा करें, ${(a^{m})}^{n} = a^{m n}$ .

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x - 7 + 5 {(x - 7)}^{\frac{1}{5} \cdot 4} \cdot 63 + 10 {({(x - 7)}^{\frac{1}{5}})}^{3} \cdot 63^{2} + 10 {({(x - 7)}^{\frac{1}{5}})}^{2} \cdot 63^{3} + 5 {(x - 7)}^{\frac{1}{5}} \cdot 63^{4} + 63^{5} - 756315 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{4} + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.9.3.2

$\frac{1}{5}$ और $4$ को मिलाएं.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x - 7 + 5 {(x - 7)}^{\frac{4}{5}} \cdot 63 + 10 {({(x - 7)}^{\frac{1}{5}})}^{3} \cdot 63^{2} + 10 {({(x - 7)}^{\frac{1}{5}})}^{2} \cdot 63^{3} + 5 {(x - 7)}^{\frac{1}{5}} \cdot 63^{4} + 63^{5} - 756315 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{4} + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.9.4

$63$ को $5$ से गुणा करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x - 7 + 315 {(x - 7)}^{\frac{4}{5}} + 10 {({(x - 7)}^{\frac{1}{5}})}^{3} \cdot 63^{2} + 10 {({(x - 7)}^{\frac{1}{5}})}^{2} \cdot 63^{3} + 5 {(x - 7)}^{\frac{1}{5}} \cdot 63^{4} + 63^{5} - 756315 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{4} + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.9.5

घातांक को ${({(x - 7)}^{\frac{1}{5}})}^{3}$ में गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.9.5.1

घात नियम लागू करें और घातांक गुणा करें, ${(a^{m})}^{n} = a^{m n}$ .

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x - 7 + 315 {(x - 7)}^{\frac{4}{5}} + 10 {(x - 7)}^{\frac{1}{5} \cdot 3} \cdot 63^{2} + 10 {({(x - 7)}^{\frac{1}{5}})}^{2} \cdot 63^{3} + 5 {(x - 7)}^{\frac{1}{5}} \cdot 63^{4} + 63^{5} - 756315 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{4} + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.9.5.2

$\frac{1}{5}$ और $3$ को मिलाएं.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x - 7 + 315 {(x - 7)}^{\frac{4}{5}} + 10 {(x - 7)}^{\frac{3}{5}} \cdot 63^{2} + 10 {({(x - 7)}^{\frac{1}{5}})}^{2} \cdot 63^{3} + 5 {(x - 7)}^{\frac{1}{5}} \cdot 63^{4} + 63^{5} - 756315 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{4} + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.9.6

$63$ को $2$ के घात तक बढ़ाएं.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x - 7 + 315 {(x - 7)}^{\frac{4}{5}} + 10 {(x - 7)}^{\frac{3}{5}} \cdot 3969 + 10 {({(x - 7)}^{\frac{1}{5}})}^{2} \cdot 63^{3} + 5 {(x - 7)}^{\frac{1}{5}} \cdot 63^{4} + 63^{5} - 756315 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{4} + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.9.7

$3969$ को $10$ से गुणा करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x - 7 + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 10 {({(x - 7)}^{\frac{1}{5}})}^{2} \cdot 63^{3} + 5 {(x - 7)}^{\frac{1}{5}} \cdot 63^{4} + 63^{5} - 756315 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{4} + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.9.8

घातांक को ${({(x - 7)}^{\frac{1}{5}})}^{2}$ में गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.9.8.1

घात नियम लागू करें और घातांक गुणा करें, ${(a^{m})}^{n} = a^{m n}$ .

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x - 7 + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 10 {(x - 7)}^{\frac{1}{5} \cdot 2} \cdot 63^{3} + 5 {(x - 7)}^{\frac{1}{5}} \cdot 63^{4} + 63^{5} - 756315 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{4} + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.9.8.2

$\frac{1}{5}$ और $2$ को मिलाएं.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x - 7 + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 10 {(x - 7)}^{\frac{2}{5}} \cdot 63^{3} + 5 {(x - 7)}^{\frac{1}{5}} \cdot 63^{4} + 63^{5} - 756315 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{4} + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.9.9

$63$ को $3$ के घात तक बढ़ाएं.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x - 7 + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 10 {(x - 7)}^{\frac{2}{5}} \cdot 250047 + 5 {(x - 7)}^{\frac{1}{5}} \cdot 63^{4} + 63^{5} - 756315 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{4} + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.9.10

$250047$ को $10$ से गुणा करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x - 7 + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 5 {(x - 7)}^{\frac{1}{5}} \cdot 63^{4} + 63^{5} - 756315 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{4} + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.9.11

$63$ को $4$ के घात तक बढ़ाएं.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x - 7 + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 5 {(x - 7)}^{\frac{1}{5}} \cdot 15752961 + 63^{5} - 756315 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{4} + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.9.12

$15752961$ को $5$ से गुणा करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x - 7 + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 63^{5} - 756315 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{4} + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.9.13

$63$ को $5$ के घात तक बढ़ाएं.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x - 7 + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436543 - 756315 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{4} + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.10

$- 7$ और $992436543$ जोड़ें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 756315 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{4} + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.11

$9$ को एक सामान्य भाजक वाली भिन्न के रूप में लिखने के लिए, $\frac{7}{7}$ से गुणा करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 756315 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9 \cdot \frac{7}{7})}^{4} + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.12

$9$ और $\frac{7}{7}$ को मिलाएं.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 756315 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + \frac{9 \cdot 7}{7})}^{4} + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.13

सामान्य भाजक पर न्यूमेरेटरों को जोड़ें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 756315 {(\frac{{(x - 7)}^{\frac{1}{5}} + 9 \cdot 7}{7})}^{4} + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.14

$9$ को $7$ से गुणा करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 756315 {(\frac{{(x - 7)}^{\frac{1}{5}} + 63}{7})}^{4} + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.15

उत्पाद नियम को $\frac{{(x - 7)}^{\frac{1}{5}} + 63}{7}$ पर लागू करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 756315 \frac{{({(x - 7)}^{\frac{1}{5}} + 63)}^{4}}{7^{4}} + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.16

$7$ को $4$ के घात तक बढ़ाएं.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 756315 \frac{{({(x - 7)}^{\frac{1}{5}} + 63)}^{4}}{2401} + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.17

$2401$ का उभयनिष्ठ गुणनखंड रद्द करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.17.1

$- 756315$ में से $2401$ का गुणनखंड करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 + 2401 (- 315) (\frac{{({(x - 7)}^{\frac{1}{5}} + 63)}^{4}}{2401}) + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.17.2

उभयनिष्ठ गुणनखंड रद्द करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 + 2401 \cdot (- 315 \frac{{({(x - 7)}^{\frac{1}{5}} + 63)}^{4}}{2401}) + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.17.3

व्यंजक को फिर से लिखें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {({(x - 7)}^{\frac{1}{5}} + 63)}^{4} + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.18

द्विपद प्रमेय का प्रयोग करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 ({({(x - 7)}^{\frac{1}{5}})}^{4} + 4 {({(x - 7)}^{\frac{1}{5}})}^{3} \cdot 63 + 6 {({(x - 7)}^{\frac{1}{5}})}^{2} \cdot 63^{2} + 4 {(x - 7)}^{\frac{1}{5}} \cdot 63^{3} + 63^{4}) + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.19

प्रत्येक पद को सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.19.1

घातांक को ${({(x - 7)}^{\frac{1}{5}})}^{4}$ में गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.19.1.1

घात नियम लागू करें और घातांक गुणा करें, ${(a^{m})}^{n} = a^{m n}$ .

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 ({(x - 7)}^{\frac{1}{5} \cdot 4} + 4 {({(x - 7)}^{\frac{1}{5}})}^{3} \cdot 63 + 6 {({(x - 7)}^{\frac{1}{5}})}^{2} \cdot 63^{2} + 4 {(x - 7)}^{\frac{1}{5}} \cdot 63^{3} + 63^{4}) + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.19.1.2

$\frac{1}{5}$ और $4$ को मिलाएं.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 ({(x - 7)}^{\frac{4}{5}} + 4 {({(x - 7)}^{\frac{1}{5}})}^{3} \cdot 63 + 6 {({(x - 7)}^{\frac{1}{5}})}^{2} \cdot 63^{2} + 4 {(x - 7)}^{\frac{1}{5}} \cdot 63^{3} + 63^{4}) + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.19.2

घातांक को ${({(x - 7)}^{\frac{1}{5}})}^{3}$ में गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.19.2.1

घात नियम लागू करें और घातांक गुणा करें, ${(a^{m})}^{n} = a^{m n}$ .

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 ({(x - 7)}^{\frac{4}{5}} + 4 {(x - 7)}^{\frac{1}{5} \cdot 3} \cdot 63 + 6 {({(x - 7)}^{\frac{1}{5}})}^{2} \cdot 63^{2} + 4 {(x - 7)}^{\frac{1}{5}} \cdot 63^{3} + 63^{4}) + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.19.2.2

$\frac{1}{5}$ और $3$ को मिलाएं.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 ({(x - 7)}^{\frac{4}{5}} + 4 {(x - 7)}^{\frac{3}{5}} \cdot 63 + 6 {({(x - 7)}^{\frac{1}{5}})}^{2} \cdot 63^{2} + 4 {(x - 7)}^{\frac{1}{5}} \cdot 63^{3} + 63^{4}) + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.19.3

$63$ को $4$ से गुणा करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 ({(x - 7)}^{\frac{4}{5}} + 252 {(x - 7)}^{\frac{3}{5}} + 6 {({(x - 7)}^{\frac{1}{5}})}^{2} \cdot 63^{2} + 4 {(x - 7)}^{\frac{1}{5}} \cdot 63^{3} + 63^{4}) + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.19.4

घातांक को ${({(x - 7)}^{\frac{1}{5}})}^{2}$ में गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.19.4.1

घात नियम लागू करें और घातांक गुणा करें, ${(a^{m})}^{n} = a^{m n}$ .

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 ({(x - 7)}^{\frac{4}{5}} + 252 {(x - 7)}^{\frac{3}{5}} + 6 {(x - 7)}^{\frac{1}{5} \cdot 2} \cdot 63^{2} + 4 {(x - 7)}^{\frac{1}{5}} \cdot 63^{3} + 63^{4}) + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.19.4.2

$\frac{1}{5}$ और $2$ को मिलाएं.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 ({(x - 7)}^{\frac{4}{5}} + 252 {(x - 7)}^{\frac{3}{5}} + 6 {(x - 7)}^{\frac{2}{5}} \cdot 63^{2} + 4 {(x - 7)}^{\frac{1}{5}} \cdot 63^{3} + 63^{4}) + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.19.5

$63$ को $2$ के घात तक बढ़ाएं.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 ({(x - 7)}^{\frac{4}{5}} + 252 {(x - 7)}^{\frac{3}{5}} + 6 {(x - 7)}^{\frac{2}{5}} \cdot 3969 + 4 {(x - 7)}^{\frac{1}{5}} \cdot 63^{3} + 63^{4}) + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.19.6

$3969$ को $6$ से गुणा करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 ({(x - 7)}^{\frac{4}{5}} + 252 {(x - 7)}^{\frac{3}{5}} + 23814 {(x - 7)}^{\frac{2}{5}} + 4 {(x - 7)}^{\frac{1}{5}} \cdot 63^{3} + 63^{4}) + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.19.7

$63$ को $3$ के घात तक बढ़ाएं.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 ({(x - 7)}^{\frac{4}{5}} + 252 {(x - 7)}^{\frac{3}{5}} + 23814 {(x - 7)}^{\frac{2}{5}} + 4 {(x - 7)}^{\frac{1}{5}} \cdot 250047 + 63^{4}) + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.19.8

$250047$ को $4$ से गुणा करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 ({(x - 7)}^{\frac{4}{5}} + 252 {(x - 7)}^{\frac{3}{5}} + 23814 {(x - 7)}^{\frac{2}{5}} + 1000188 {(x - 7)}^{\frac{1}{5}} + 63^{4}) + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.19.9

$63$ को $4$ के घात तक बढ़ाएं.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 ({(x - 7)}^{\frac{4}{5}} + 252 {(x - 7)}^{\frac{3}{5}} + 23814 {(x - 7)}^{\frac{2}{5}} + 1000188 {(x - 7)}^{\frac{1}{5}} + 15752961) + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.20

वितरण गुणधर्म लागू करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 315 (252 {(x - 7)}^{\frac{3}{5}}) - 315 (23814 {(x - 7)}^{\frac{2}{5}}) - 315 (1000188 {(x - 7)}^{\frac{1}{5}}) - 315 \cdot 15752961 + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.21

सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.21.1

$252$ को $- 315$ से गुणा करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 315 (23814 {(x - 7)}^{\frac{2}{5}}) - 315 (1000188 {(x - 7)}^{\frac{1}{5}}) - 315 \cdot 15752961 + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.21.2

$23814$ को $- 315$ से गुणा करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315 (1000188 {(x - 7)}^{\frac{1}{5}}) - 315 \cdot 15752961 + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.21.3

$1000188$ को $- 315$ से गुणा करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 315 \cdot 15752961 + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.21.4

$- 315$ को $15752961$ से गुणा करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.22

$9$ को एक सामान्य भाजक वाली भिन्न के रूप में लिखने के लिए, $\frac{7}{7}$ से गुणा करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9 \cdot \frac{7}{7})}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.23

$9$ और $\frac{7}{7}$ को मिलाएं.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + \frac{9 \cdot 7}{7})}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.24

सामान्य भाजक पर न्यूमेरेटरों को जोड़ें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}} + 9 \cdot 7}{7})}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.25

$9$ को $7$ से गुणा करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 13613670 {(\frac{{(x - 7)}^{\frac{1}{5}} + 63}{7})}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.26

उत्पाद नियम को $\frac{{(x - 7)}^{\frac{1}{5}} + 63}{7}$ पर लागू करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 13613670 (\frac{{({(x - 7)}^{\frac{1}{5}} + 63)}^{3}}{7^{3}}) - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.27

$7$ को $3$ के घात तक बढ़ाएं.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 13613670 (\frac{{({(x - 7)}^{\frac{1}{5}} + 63)}^{3}}{343}) - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.28

$343$ का उभयनिष्ठ गुणनखंड रद्द करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.28.1

$13613670$ में से $343$ का गुणनखंड करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 343 (39690) (\frac{{({(x - 7)}^{\frac{1}{5}} + 63)}^{3}}{343}) - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.28.2

उभयनिष्ठ गुणनखंड रद्द करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 343 \cdot (39690 (\frac{{({(x - 7)}^{\frac{1}{5}} + 63)}^{3}}{343})) - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.28.3

व्यंजक को फिर से लिखें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {({(x - 7)}^{\frac{1}{5}} + 63)}^{3} - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.29

द्विपद प्रमेय का प्रयोग करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 ({({(x - 7)}^{\frac{1}{5}})}^{3} + 3 {({(x - 7)}^{\frac{1}{5}})}^{2} \cdot 63 + 3 {(x - 7)}^{\frac{1}{5}} \cdot 63^{2} + 63^{3}) - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.30

प्रत्येक पद को सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.30.1

घातांक को ${({(x - 7)}^{\frac{1}{5}})}^{3}$ में गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.30.1.1

घात नियम लागू करें और घातांक गुणा करें, ${(a^{m})}^{n} = a^{m n}$ .

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 ({(x - 7)}^{\frac{1}{5} \cdot 3} + 3 {({(x - 7)}^{\frac{1}{5}})}^{2} \cdot 63 + 3 {(x - 7)}^{\frac{1}{5}} \cdot 63^{2} + 63^{3}) - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.30.1.2

$\frac{1}{5}$ और $3$ को मिलाएं.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 ({(x - 7)}^{\frac{3}{5}} + 3 {({(x - 7)}^{\frac{1}{5}})}^{2} \cdot 63 + 3 {(x - 7)}^{\frac{1}{5}} \cdot 63^{2} + 63^{3}) - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.30.2

घातांक को ${({(x - 7)}^{\frac{1}{5}})}^{2}$ में गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.30.2.1

घात नियम लागू करें और घातांक गुणा करें, ${(a^{m})}^{n} = a^{m n}$ .

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 ({(x - 7)}^{\frac{3}{5}} + 3 {(x - 7)}^{\frac{1}{5} \cdot 2} \cdot 63 + 3 {(x - 7)}^{\frac{1}{5}} \cdot 63^{2} + 63^{3}) - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.30.2.2

$\frac{1}{5}$ और $2$ को मिलाएं.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 ({(x - 7)}^{\frac{3}{5}} + 3 {(x - 7)}^{\frac{2}{5}} \cdot 63 + 3 {(x - 7)}^{\frac{1}{5}} \cdot 63^{2} + 63^{3}) - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.30.3

$63$ को $3$ से गुणा करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 ({(x - 7)}^{\frac{3}{5}} + 189 {(x - 7)}^{\frac{2}{5}} + 3 {(x - 7)}^{\frac{1}{5}} \cdot 63^{2} + 63^{3}) - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.30.4

$63$ को $2$ के घात तक बढ़ाएं.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 ({(x - 7)}^{\frac{3}{5}} + 189 {(x - 7)}^{\frac{2}{5}} + 3 {(x - 7)}^{\frac{1}{5}} \cdot 3969 + 63^{3}) - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.30.5

$3969$ को $3$ से गुणा करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 ({(x - 7)}^{\frac{3}{5}} + 189 {(x - 7)}^{\frac{2}{5}} + 11907 {(x - 7)}^{\frac{1}{5}} + 63^{3}) - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.30.6

$63$ को $3$ के घात तक बढ़ाएं.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 ({(x - 7)}^{\frac{3}{5}} + 189 {(x - 7)}^{\frac{2}{5}} + 11907 {(x - 7)}^{\frac{1}{5}} + 250047) - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.31

वितरण गुणधर्म लागू करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 39690 (189 {(x - 7)}^{\frac{2}{5}}) + 39690 (11907 {(x - 7)}^{\frac{1}{5}}) + 39690 \cdot 250047 - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.32

सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.32.1

$189$ को $39690$ से गुणा करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 7501410 {(x - 7)}^{\frac{2}{5}} + 39690 (11907 {(x - 7)}^{\frac{1}{5}}) + 39690 \cdot 250047 - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.32.2

$11907$ को $39690$ से गुणा करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 7501410 {(x - 7)}^{\frac{2}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 39690 \cdot 250047 - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.32.3

$39690$ को $250047$ से गुणा करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 7501410 {(x - 7)}^{\frac{2}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430 - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.33

$9$ को एक सामान्य भाजक वाली भिन्न के रूप में लिखने के लिए, $\frac{7}{7}$ से गुणा करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 7501410 {(x - 7)}^{\frac{2}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430 - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9 \cdot \frac{7}{7})}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.34

$9$ और $\frac{7}{7}$ को मिलाएं.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 7501410 {(x - 7)}^{\frac{2}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430 - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}}}{7} + \frac{9 \cdot 7}{7})}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.35

सामान्य भाजक पर न्यूमेरेटरों को जोड़ें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 7501410 {(x - 7)}^{\frac{2}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430 - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}} + 9 \cdot 7}{7})}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.36

$9$ को $7$ से गुणा करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 7501410 {(x - 7)}^{\frac{2}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430 - 122523030 {(\frac{{(x - 7)}^{\frac{1}{5}} + 63}{7})}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.37

उत्पाद नियम को $\frac{{(x - 7)}^{\frac{1}{5}} + 63}{7}$ पर लागू करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 7501410 {(x - 7)}^{\frac{2}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430 - 122523030 \frac{{({(x - 7)}^{\frac{1}{5}} + 63)}^{2}}{7^{2}} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.38

$7$ को $2$ के घात तक बढ़ाएं.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 7501410 {(x - 7)}^{\frac{2}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430 - 122523030 \frac{{({(x - 7)}^{\frac{1}{5}} + 63)}^{2}}{49} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.39

$49$ का उभयनिष्ठ गुणनखंड रद्द करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.39.1

$- 122523030$ में से $49$ का गुणनखंड करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 7501410 {(x - 7)}^{\frac{2}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430 + 49 (- 2500470) (\frac{{({(x - 7)}^{\frac{1}{5}} + 63)}^{2}}{49}) + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.39.2

उभयनिष्ठ गुणनखंड रद्द करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 7501410 {(x - 7)}^{\frac{2}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430 + 49 \cdot (- 2500470 \frac{{({(x - 7)}^{\frac{1}{5}} + 63)}^{2}}{49}) + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.39.3

व्यंजक को फिर से लिखें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 7501410 {(x - 7)}^{\frac{2}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430 - 2500470 {({(x - 7)}^{\frac{1}{5}} + 63)}^{2} + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.40

${({(x - 7)}^{\frac{1}{5}} + 63)}^{2}$ को $({(x - 7)}^{\frac{1}{5}} + 63) ({(x - 7)}^{\frac{1}{5}} + 63)$ के रूप में फिर से लिखें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 7501410 {(x - 7)}^{\frac{2}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430 - 2500470 (({(x - 7)}^{\frac{1}{5}} + 63) ({(x - 7)}^{\frac{1}{5}} + 63)) + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.41

FOIL विधि का उपयोग करके $({(x - 7)}^{\frac{1}{5}} + 63) ({(x - 7)}^{\frac{1}{5}} + 63)$ का प्रसार करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.41.1

वितरण गुणधर्म लागू करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 7501410 {(x - 7)}^{\frac{2}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430 - 2500470 ({(x - 7)}^{\frac{1}{5}} ({(x - 7)}^{\frac{1}{5}} + 63) + 63 ({(x - 7)}^{\frac{1}{5}} + 63)) + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.41.2

वितरण गुणधर्म लागू करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 7501410 {(x - 7)}^{\frac{2}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430 - 2500470 ({(x - 7)}^{\frac{1}{5}} {(x - 7)}^{\frac{1}{5}} + {(x - 7)}^{\frac{1}{5}} \cdot 63 + 63 ({(x - 7)}^{\frac{1}{5}} + 63)) + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.41.3

वितरण गुणधर्म लागू करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 7501410 {(x - 7)}^{\frac{2}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430 - 2500470 ({(x - 7)}^{\frac{1}{5}} {(x - 7)}^{\frac{1}{5}} + {(x - 7)}^{\frac{1}{5}} \cdot 63 + 63 {(x - 7)}^{\frac{1}{5}} + 63 \cdot 63) + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.42

समान पदों को सरल और संयोजित करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.42.1

प्रत्येक पद को सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.42.1.1

घातांक जोड़कर ${(x - 7)}^{\frac{1}{5}}$ को ${(x - 7)}^{\frac{1}{5}}$ से गुणा करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.42.1.1.1

घातांकों को संयोजित करने के लिए घात नियम $a^{m} a^{n} = a^{m + n}$ का उपयोग करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 7501410 {(x - 7)}^{\frac{2}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430 - 2500470 ({(x - 7)}^{\frac{1}{5} + \frac{1}{5}} + {(x - 7)}^{\frac{1}{5}} \cdot 63 + 63 {(x - 7)}^{\frac{1}{5}} + 63 \cdot 63) + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.42.1.1.2

सामान्य भाजक पर न्यूमेरेटरों को जोड़ें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 7501410 {(x - 7)}^{\frac{2}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430 - 2500470 ({(x - 7)}^{\frac{1 + 1}{5}} + {(x - 7)}^{\frac{1}{5}} \cdot 63 + 63 {(x - 7)}^{\frac{1}{5}} + 63 \cdot 63) + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.42.1.1.3

$1$ और $1$ जोड़ें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 7501410 {(x - 7)}^{\frac{2}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430 - 2500470 ({(x - 7)}^{\frac{2}{5}} + {(x - 7)}^{\frac{1}{5}} \cdot 63 + 63 {(x - 7)}^{\frac{1}{5}} + 63 \cdot 63) + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.42.1.2

$63$ को ${(x - 7)}^{\frac{1}{5}}$ के बाईं ओर ले जाएं.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 7501410 {(x - 7)}^{\frac{2}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430 - 2500470 ({(x - 7)}^{\frac{2}{5}} + 63 \cdot {(x - 7)}^{\frac{1}{5}} + 63 {(x - 7)}^{\frac{1}{5}} + 63 \cdot 63) + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.42.1.3

$63$ को $63$ से गुणा करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 7501410 {(x - 7)}^{\frac{2}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430 - 2500470 ({(x - 7)}^{\frac{2}{5}} + 63 {(x - 7)}^{\frac{1}{5}} + 63 {(x - 7)}^{\frac{1}{5}} + 3969) + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.42.2

$63 {(x - 7)}^{\frac{1}{5}}$ और $63 {(x - 7)}^{\frac{1}{5}}$ जोड़ें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 7501410 {(x - 7)}^{\frac{2}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430 - 2500470 ({(x - 7)}^{\frac{2}{5}} + 126 {(x - 7)}^{\frac{1}{5}} + 3969) + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.43

वितरण गुणधर्म लागू करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 7501410 {(x - 7)}^{\frac{2}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430 - 2500470 {(x - 7)}^{\frac{2}{5}} - 2500470 (126 {(x - 7)}^{\frac{1}{5}}) - 2500470 \cdot 3969 + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.44

सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.44.1

$126$ को $- 2500470$ से गुणा करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 7501410 {(x - 7)}^{\frac{2}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430 - 2500470 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 2500470 \cdot 3969 + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.44.2

$- 2500470$ को $3969$ से गुणा करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 7501410 {(x - 7)}^{\frac{2}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430 - 2500470 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 9924365430 + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) - 992436536$

चरण 5.2.3.45

$9$ को एक सामान्य भाजक वाली भिन्न के रूप में लिखने के लिए, $\frac{7}{7}$ से गुणा करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 7501410 {(x - 7)}^{\frac{2}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430 - 2500470 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 9924365430 + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9 \cdot \frac{7}{7}) - 992436536$

चरण 5.2.3.46

$9$ और $\frac{7}{7}$ को मिलाएं.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 7501410 {(x - 7)}^{\frac{2}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430 - 2500470 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 9924365430 + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + \frac{9 \cdot 7}{7}) - 992436536$

चरण 5.2.3.47

सामान्य भाजक पर न्यूमेरेटरों को जोड़ें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 7501410 {(x - 7)}^{\frac{2}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430 - 2500470 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 9924365430 + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}} + 9 \cdot 7}{7}) - 992436536$

चरण 5.2.3.48

$9$ को $7$ से गुणा करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 7501410 {(x - 7)}^{\frac{2}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430 - 2500470 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 9924365430 + 551353635 (\frac{{(x - 7)}^{\frac{1}{5}} + 63}{7}) - 992436536$

चरण 5.2.3.49

$7$ का उभयनिष्ठ गुणनखंड रद्द करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.3.49.1

$551353635$ में से $7$ का गुणनखंड करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 7501410 {(x - 7)}^{\frac{2}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430 - 2500470 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 9924365430 + 7 (78764805) (\frac{{(x - 7)}^{\frac{1}{5}} + 63}{7}) - 992436536$

चरण 5.2.3.49.2

उभयनिष्ठ गुणनखंड रद्द करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 7501410 {(x - 7)}^{\frac{2}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430 - 2500470 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 9924365430 + 7 \cdot (78764805 (\frac{{(x - 7)}^{\frac{1}{5}} + 63}{7})) - 992436536$

चरण 5.2.3.49.3

व्यंजक को फिर से लिखें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 7501410 {(x - 7)}^{\frac{2}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430 - 2500470 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 9924365430 + 78764805 ({(x - 7)}^{\frac{1}{5}} + 63) - 992436536$

चरण 5.2.3.50

वितरण गुणधर्म लागू करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 7501410 {(x - 7)}^{\frac{2}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430 - 2500470 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 9924365430 + 78764805 {(x - 7)}^{\frac{1}{5}} + 78764805 \cdot 63 - 992436536$

चरण 5.2.3.51

$78764805$ को $63$ से गुणा करें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 7501410 {(x - 7)}^{\frac{2}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430 - 2500470 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 9924365430 + 78764805 {(x - 7)}^{\frac{1}{5}} + 4962182715 - 992436536$

चरण 5.2.4

पदों को जोड़कर सरल करें.

और स्टेप्स के लिए टैप करें…

चरण 5.2.4.1

$x + 315 {(x - 7)}^{\frac{4}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 315 {(x - 7)}^{\frac{4}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 7501410 {(x - 7)}^{\frac{2}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430 - 2500470 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 9924365430 + 78764805 {(x - 7)}^{\frac{1}{5}} + 4962182715 - 992436536$ में विपरीत पदों को मिलाएं.

और स्टेप्स के लिए टैप करें…

चरण 5.2.4.1.1

$315 {(x - 7)}^{\frac{4}{5}}$ में से $315 {(x - 7)}^{\frac{4}{5}}$ घटाएं.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 + 0 - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 7501410 {(x - 7)}^{\frac{2}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430 - 2500470 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 9924365430 + 78764805 {(x - 7)}^{\frac{1}{5}} + 4962182715 - 992436536$

चरण 5.2.4.1.2

$x + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536$ और $0$ जोड़ें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 79380 {(x - 7)}^{\frac{3}{5}} - 7501410 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 7501410 {(x - 7)}^{\frac{2}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430 - 2500470 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 9924365430 + 78764805 {(x - 7)}^{\frac{1}{5}} + 4962182715 - 992436536$

चरण 5.2.4.1.3

$- 7501410 {(x - 7)}^{\frac{2}{5}}$ और $7501410 {(x - 7)}^{\frac{2}{5}}$ जोड़ें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 79380 {(x - 7)}^{\frac{3}{5}} + 0 - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430 - 2500470 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 9924365430 + 78764805 {(x - 7)}^{\frac{1}{5}} + 4962182715 - 992436536$

चरण 5.2.4.1.4

$x + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 79380 {(x - 7)}^{\frac{3}{5}}$ और $0$ जोड़ें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 39690 {(x - 7)}^{\frac{3}{5}} + 2500470 {(x - 7)}^{\frac{2}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 79380 {(x - 7)}^{\frac{3}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430 - 2500470 {(x - 7)}^{\frac{2}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 9924365430 + 78764805 {(x - 7)}^{\frac{1}{5}} + 4962182715 - 992436536$

चरण 5.2.4.1.5

$2500470 {(x - 7)}^{\frac{2}{5}}$ में से $2500470 {(x - 7)}^{\frac{2}{5}}$ घटाएं.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 39690 {(x - 7)}^{\frac{3}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 79380 {(x - 7)}^{\frac{3}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430 + 0 - 315059220 {(x - 7)}^{\frac{1}{5}} - 9924365430 + 78764805 {(x - 7)}^{\frac{1}{5}} + 4962182715 - 992436536$

चरण 5.2.4.1.6

$x + 39690 {(x - 7)}^{\frac{3}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 79380 {(x - 7)}^{\frac{3}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430$ और $0$ जोड़ें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 39690 {(x - 7)}^{\frac{3}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 79380 {(x - 7)}^{\frac{3}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 9924365430 - 315059220 {(x - 7)}^{\frac{1}{5}} - 9924365430 + 78764805 {(x - 7)}^{\frac{1}{5}} + 4962182715 - 992436536$

चरण 5.2.4.1.7

$9924365430$ में से $9924365430$ घटाएं.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 39690 {(x - 7)}^{\frac{3}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 79380 {(x - 7)}^{\frac{3}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} + 0 - 315059220 {(x - 7)}^{\frac{1}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 4962182715 - 992436536$

चरण 5.2.4.1.8

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 39690 {(x - 7)}^{\frac{3}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 79380 {(x - 7)}^{\frac{3}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} - 4962182715 + 39690 {(x - 7)}^{\frac{3}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 4962182715 - 992436536$

चरण 5.2.4.1.9

$- 4962182715$ और $4962182715$ जोड़ें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 39690 {(x - 7)}^{\frac{3}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 79380 {(x - 7)}^{\frac{3}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 0 - 992436536$

चरण 5.2.4.1.10

$x + 39690 {(x - 7)}^{\frac{3}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 79380 {(x - 7)}^{\frac{3}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}}$ और $0$ जोड़ें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 39690 {(x - 7)}^{\frac{3}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 992436536 - 79380 {(x - 7)}^{\frac{3}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} - 992436536$

चरण 5.2.4.1.11

$992436536$ में से $992436536$ घटाएं.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 39690 {(x - 7)}^{\frac{3}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} + 0 - 79380 {(x - 7)}^{\frac{3}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}}$

चरण 5.2.4.1.12

$x + 39690 {(x - 7)}^{\frac{3}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}}$ और $0$ जोड़ें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 39690 {(x - 7)}^{\frac{3}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}} - 79380 {(x - 7)}^{\frac{3}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}}$

चरण 5.2.4.2

$39690 {(x - 7)}^{\frac{3}{5}}$ में से $79380 {(x - 7)}^{\frac{3}{5}}$ घटाएं.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 78764805 {(x - 7)}^{\frac{1}{5}} - 39690 {(x - 7)}^{\frac{3}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}}$

चरण 5.2.4.3

$x + 78764805 {(x - 7)}^{\frac{1}{5}} - 39690 {(x - 7)}^{\frac{3}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} + 39690 {(x - 7)}^{\frac{3}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}}$ में विपरीत पदों को मिलाएं.

और स्टेप्स के लिए टैप करें…

चरण 5.2.4.3.1

$- 39690 {(x - 7)}^{\frac{3}{5}}$ और $39690 {(x - 7)}^{\frac{3}{5}}$ जोड़ें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 78764805 {(x - 7)}^{\frac{1}{5}} + 0 - 315059220 {(x - 7)}^{\frac{1}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}}$

चरण 5.2.4.3.2

$x + 78764805 {(x - 7)}^{\frac{1}{5}}$ और $0$ जोड़ें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 78764805 {(x - 7)}^{\frac{1}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}}$

चरण 5.2.4.4

$78764805 {(x - 7)}^{\frac{1}{5}}$ में से $315059220 {(x - 7)}^{\frac{1}{5}}$ घटाएं.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x - 236294415 {(x - 7)}^{\frac{1}{5}} + 472588830 {(x - 7)}^{\frac{1}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}}$

चरण 5.2.4.5

$- 236294415 {(x - 7)}^{\frac{1}{5}}$ और $472588830 {(x - 7)}^{\frac{1}{5}}$ जोड़ें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 236294415 {(x - 7)}^{\frac{1}{5}} - 315059220 {(x - 7)}^{\frac{1}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}}$

चरण 5.2.4.6

$236294415 {(x - 7)}^{\frac{1}{5}}$ में से $315059220 {(x - 7)}^{\frac{1}{5}}$ घटाएं.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x - 78764805 {(x - 7)}^{\frac{1}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}}$

चरण 5.2.4.7

$x - 78764805 {(x - 7)}^{\frac{1}{5}} + 78764805 {(x - 7)}^{\frac{1}{5}}$ में विपरीत पदों को मिलाएं.

और स्टेप्स के लिए टैप करें…

चरण 5.2.4.7.1

$- 78764805 {(x - 7)}^{\frac{1}{5}}$ और $78764805 {(x - 7)}^{\frac{1}{5}}$ जोड़ें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x + 0$

चरण 5.2.4.7.2

$x$ और $0$ जोड़ें.

$f^{- 1} (\frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9) = x$

चरण 5.3

$f (f^{- 1} (x))$ का मान ज्ञात करें.

और स्टेप्स के लिए टैप करें…

चरण 5.3.1

समग्र परिणाम फलन सेट करें.

$f (f^{- 1} (x))$

चरण 5.3.2

$f$ में $f^{- 1}$ का मान प्रतिस्थापित करके $f (16807 x^{5} - 756315 x^{4} + 13613670 x^{3} - 122523030 x^{2} + 551353635 x - 992436536)$ का मान ज्ञात करें.

$f (16807 x^{5} - 756315 x^{4} + 13613670 x^{3} - 122523030 x^{2} + 551353635 x - 992436536) = \frac{{((16807 x^{5} - 756315 x^{4} + 13613670 x^{3} - 122523030 x^{2} + 551353635 x - 992436536) - 7)}^{\frac{1}{5}}}{7} + 9$

चरण 5.3.3

$- 992436536$ में से $7$ घटाएं.

$f (16807 x^{5} - 756315 x^{4} + 13613670 x^{3} - 122523030 x^{2} + 551353635 x - 992436536) = \frac{{(16807 x^{5} - 756315 x^{4} + 13613670 x^{3} - 122523030 x^{2} + 551353635 x - 992436543)}^{\frac{1}{5}}}{7} + 9$

चरण 5.3.4

$9$ को एक सामान्य भाजक वाली भिन्न के रूप में लिखने के लिए, $\frac{7}{7}$ से गुणा करें.

चरण 5.3.5

$9$ और $\frac{7}{7}$ को मिलाएं.

चरण 5.3.6

सामान्य भाजक पर न्यूमेरेटरों को जोड़ें.

चरण 5.3.7

$9$ को $7$ से गुणा करें.

चरण 5.4

चूँकि $f^{- 1} (f (x)) = x$ और $f (f^{- 1} (x)) = x$ , तो $f^{- 1} (x) = 16807 x^{5} - 756315 x^{4} + 13613670 x^{3} - 122523030 x^{2} + 551353635 x - 992436536$ , $f (x) = \frac{{(x - 7)}^{\frac{1}{5}}}{7} + 9$ का व्युत्क्रम है.

$f^{- 1} (x) = 16807 x^{5} - 756315 x^{4} + 13613670 x^{3} - 122523030 x^{2} + 551353635 x - 992436536$