Evaluate -125^(2/3)

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

Step 1

Simplify the expression.

Rewrite $125$ as $5^{3}$ .

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

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 $3$ .

Cancel the common factor.

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

Rewrite the expression.

$- 5^{2}$

Step 3

Simplify the expression.

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

$- 1 \cdot 25$

Multiply $- 1$ by $25$ .

$- 25$