Evaluate (-125)^(4/3)

${(- 125)}^{\frac{4}{3}}$

Step 1

Simplify the expression.

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

${({(- 5)}^{3})}^{\frac{4}{3}}$

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

${(- 5)}^{3 (\frac{4}{3})}$

Step 2

Cancel the common factor of $3$ .

Cancel the common factor.

${(- 5)}^{3 (\frac{4}{3})}$

Rewrite the expression.

${(- 5)}^{4}$

Step 3

Raise $- 5$ to the power of $4$ .

$625$