Evaluate cube root of -512/729

$\sqrt[3]{- \frac{512}{729}}$

Step 1

Rewrite $- \frac{512}{729}$ as ${(- \frac{8}{9})}^{3}$ .

$\sqrt[3]{{(- \frac{8}{9})}^{3}}$

Step 2

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

$- \frac{8}{9}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{8}{9}$

Decimal Form:

$- 0.\overline{8}$