simplify. (-32)^(1/5)

Explanation:

Step1: Recall the power - root relationship

$a^{\frac{1}{n}}=\sqrt[n]{a}$. So, $(-32)^{\frac{1}{5}}=\sqrt[5]{-32}$.

Step2: Find the fifth - root

We know that $(-2)\times(-2)\times(-2)\times(-2)\times(-2)=-32$. So, $\sqrt[5]{-32}=-2$.

Answer:

$-2$