Algebra Examples

${({(- 2)}^{5} - {(- 3)}^{3})}^{2}$

Step 1

Simplify each term.

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Step 1.1

Raise $- 2$ to the power of $5$ .

${(- 32 - {(- 3)}^{3})}^{2}$

Step 1.2

Raise $- 3$ to the power of $3$ .

${(- 32 - - 27)}^{2}$

Step 1.3

Multiply $- 1$ by $- 27$ .

${(- 32 + 27)}^{2}$

${(- 32 + 27)}^{2}$

Step 2

Simplify the expression.

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Step 2.1

Add $- 32$ and $27$ .

${(- 5)}^{2}$

Step 2.2

Raise $- 5$ to the power of $2$ .

$25$

$25$

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