Algebra Examples

$20^{2} \div (3 {(5 - 9)}^{2} + 2)$

Step 1

Rewrite the division as a fraction.

$\frac{20^{2}}{3 {(5 - 9)}^{2} + 2}$

Step 2

Raise $20$ to the power of $2$ .

$\frac{400}{3 {(5 - 9)}^{2} + 2}$

Step 3

Simplify the denominator.

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Step 3.1

Subtract $9$ from $5$ .

$\frac{400}{3 {(- 4)}^{2} + 2}$

Step 3.2

Raise $- 4$ to the power of $2$ .

$\frac{400}{3 \cdot 16 + 2}$

Step 3.3

Multiply $3$ by $16$ .

$\frac{400}{48 + 2}$

Step 3.4

Add $48$ and $2$ .

$\frac{400}{50}$

$\frac{400}{50}$

Step 4

Divide $400$ by $50$ .

$8$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$