Simplify cube root of -1/27

$\sqrt[3]{- \frac{1}{27}}$

Step 1

Rewrite $- \frac{1}{27}$ as ${(- \frac{1}{3})}^{3}$ .

$\sqrt[3]{{(- \frac{1}{3})}^{3}}$

Step 2

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

$- \frac{1}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{3}$

Decimal Form:

$- 0.\overline{3}$