Simplify cube root of -1/729

$\sqrt[3]{- \frac{1}{729}}$

Step 1

Rewrite $- \frac{1}{729}$ as ${(- \frac{1}{9})}^{3}$ .

$\sqrt[3]{{(- \frac{1}{9})}^{3}}$

Step 2

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

$- \frac{1}{9}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{9}$

Decimal Form:

$- 0.\overline{1}$