Pre-Algebra Examples

$\frac{1}{\sqrt[5]{32^{3}}}$

Step 1

Raise $32$ to the power of $3$ .

$\frac{1}{\sqrt[5]{32768}}$

Step 2

Rewrite $32768$ as $8^{5}$ .

$\frac{1}{\sqrt[5]{8^{5}}}$

Step 3

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

$\frac{1}{8}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{8}$

Decimal Form:

$0.125$