Find the Exact Value fifth root of 1/32

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

Step 1

Rewrite $\sqrt[5]{\frac{1}{32}}$ as $\frac{\sqrt[5]{1}}{\sqrt[5]{32}}$ .

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

Step 2

Any root of $1$ is $1$ .

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

Step 3

Simplify the denominator.

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

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

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

$\frac{1}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$