Algebra Examples

${(- 125)}^{\frac{2}{3}}$

Step 1

Simplify the expression.

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Step 1.1

Rewrite $- 125$ as ${(- 5)}^{3}$ .

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

Step 1.2

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

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

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Cancel the common factor.

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

Step 2.2

Rewrite the expression.

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

Step 3

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

$25$