Algebra Examples

${(\frac{56^{\frac{1}{4}}}{7^{\frac{1}{4}}})}^{5}$

Step 1

Use the power of quotient rule $\frac{a^{m}}{b^{m}} = {(\frac{a}{b})}^{m}$ .

${({(\frac{56}{7})}^{\frac{1}{4}})}^{5}$

Step 2

Multiply the exponents in ${({(\frac{56}{7})}^{\frac{1}{4}})}^{5}$ .

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Step 2.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

${(\frac{56}{7})}^{\frac{1}{4} \cdot 5}$

Step 2.2

Combine $\frac{1}{4}$ and $5$ .

${(\frac{56}{7})}^{\frac{5}{4}}$

Step 3

Divide $56$ by $7$ .

$8^{\frac{5}{4}}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$8^{\frac{5}{4}}$

Decimal Form:

$13.45434264 \dots$