Simplify fifth root of -1/32

$\sqrt[5]{- \frac{1}{32}}$

Step 1

Rewrite $- \frac{1}{32}$ as ${(- \frac{1}{2})}^{5}$ .

$\sqrt[5]{{(- \frac{1}{2})}^{5}}$

Step 2

Pull terms out from under the radical, assuming real numbers.

$- \frac{1}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{2}$

Decimal Form:

$- 0.5$