Finite Math Examples

$\frac{{(2 - 6.42)}^{2} \cdot (5 {(5 - 6.42)}^{2}) \cdot (5 {(8 - 6.42)}^{2}) \cdot (4 {(11 - 6.42)}^{2}) \cdot 5}{19 - 1}$

Step 1

Simplify the numerator.

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Step 1.1

Multiply $5$ by $5$ .

$\frac{{(2 - 6.42)}^{2} \cdot 25 {(5 - 6.42)}^{2} {(8 - 6.42)}^{2} \cdot 4 {(11 - 6.42)}^{2} \cdot 5}{19 - 1}$

Step 1.2

Multiply $4$ by $25$ .

$\frac{{(2 - 6.42)}^{2} \cdot 100 {(5 - 6.42)}^{2} {(8 - 6.42)}^{2} {(11 - 6.42)}^{2} \cdot 5}{19 - 1}$

Step 1.3

Multiply $5$ by $100$ .

$\frac{{(2 - 6.42)}^{2} \cdot 500 {(5 - 6.42)}^{2} {(8 - 6.42)}^{2} {(11 - 6.42)}^{2}}{19 - 1}$

Step 2

Subtract $1$ from $19$ .

$\frac{{(2 - 6.42)}^{2} \cdot 500 {(5 - 6.42)}^{2} {(8 - 6.42)}^{2} {(11 - 6.42)}^{2}}{18}$

Step 3

Simplify the numerator.

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Step 3.1

Subtract $6.42$ from $2$ .

$\frac{{(- 4.42)}^{2} \cdot 500 {(5 - 6.42)}^{2} {(8 - 6.42)}^{2} {(11 - 6.42)}^{2}}{18}$

Step 3.2

Subtract $6.42$ from $5$ .

$\frac{{(- 4.42)}^{2} \cdot 500 {(- 1.42)}^{2} {(8 - 6.42)}^{2} {(11 - 6.42)}^{2}}{18}$

Step 3.3

Subtract $6.42$ from $8$ .

$\frac{{(- 4.42)}^{2} \cdot 500 {(- 1.42)}^{2} \cdot {1.58}^{2} {(11 - 6.42)}^{2}}{18}$

Step 3.4

Subtract $6.42$ from $11$ .

$\frac{{(- 4.42)}^{2} \cdot 500 {(- 1.42)}^{2} \cdot {1.58}^{2} \cdot {4.58}^{2}}{18}$

Step 3.5

Raise $- 4.42$ to the power of $2$ .

$\frac{19.5364 \cdot 500 {(- 1.42)}^{2} \cdot {1.58}^{2} \cdot {4.58}^{2}}{18}$

Step 3.6

Raise $- 1.42$ to the power of $2$ .

$\frac{19.5364 \cdot 500 \cdot 2.0164 \cdot {1.58}^{2} \cdot {4.58}^{2}}{18}$

Step 3.7

Raise $1.58$ to the power of $2$ .

$\frac{19.5364 \cdot 500 \cdot 2.0164 \cdot 2.4964 \cdot {4.58}^{2}}{18}$

Step 3.8

Raise $4.58$ to the power of $2$ .

$\frac{19.5364 \cdot 500 \cdot 2.0164 \cdot 2.4964 \cdot 20.9764}{18}$

Step 3.9

Combine exponents.

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Step 3.9.1

Multiply $19.5364$ by $500$ .

$\frac{9768.2 \cdot 2.0164 \cdot 2.4964 \cdot 20.9764}{18}$

Step 3.9.2

Multiply $9768.2$ by $2.0164$ .

$\frac{19696.59848 \cdot 2.4964 \cdot 20.9764}{18}$

Step 3.9.3

Multiply $19696.59848$ by $2.4964$ .

$\frac{49170.58844547 \cdot 20.9764}{18}$

Step 3.9.4

Multiply $49170.58844547$ by $20.9764$ .

$\frac{1031421.93146759}{18}$

Step 4

Divide $1031421.93146759$ by $18$ .

$57301.21841486$