Evaluate -32^(2/5)

$- 32^{\frac{2}{5}}$

Step 1

Simplify the expression.

Rewrite $32$ as $2^{5}$ .

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

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

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

Step 2

Cancel the common factor of $5$ .

Cancel the common factor.

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

Rewrite the expression.

$- 2^{2}$

Step 3

Simplify the expression.

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

$- 1 \cdot 4$

Multiply $- 1$ by $4$ .

$- 4$