Simplify the Radical Expression cube root of -0.008

$\sqrt[3]{- 0.008}$

Rewrite $- 0.008$ as ${(- 1)}^{3} \cdot 0.008$ .

Rewrite.

$\sqrt[3]{- 1 \cdot 0.008}$

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

$\sqrt[3]{{(- 1)}^{3} \cdot 0.008}$

Pull terms out from under the radical.

$- 1 \sqrt[3]{0.008}$

Rewrite $- 1 \sqrt[3]{0.008}$ as $- \sqrt[3]{0.008}$ .

$- \sqrt[3]{0.008}$

The result can be shown in multiple forms.

Exact Form:

$- \sqrt[3]{0.008}$

Decimal Form:

$- 0.2$