Find the Exact Value cube root of 1/8

$\sqrt[3]{\frac{1}{8}}$

Step 1

Rewrite $\sqrt[3]{\frac{1}{8}}$ as $\frac{\sqrt[3]{1}}{\sqrt[3]{8}}$ .

$\frac{\sqrt[3]{1}}{\sqrt[3]{8}}$

Step 2

Any root of $1$ is $1$ .

$\frac{1}{\sqrt[3]{8}}$

Step 3

Simplify the denominator.

Rewrite $8$ as $2^{3}$ .

$\frac{1}{\sqrt[3]{2^{3}}}$

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:

$0.5$