Algebra Examples

$\sqrt[3]{- 512 x^{2}}$

Step 1

Rewrite $- 512 x^{2}$ as ${({(- 2)}^{3})}^{3} x^{2}$ .

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Step 1.1

Rewrite $- 512$ as ${(- 8)}^{3}$ .

$\sqrt[3]{{(- 8)}^{3} x^{2}}$

Step 1.2

Rewrite $- 8$ as ${(- 2)}^{3}$ .

$\sqrt[3]{{({(- 2)}^{3})}^{3} x^{2}}$

Step 2

Pull terms out from under the radical.

${(- 2)}^{3} \sqrt[3]{x^{2}}$

Step 3

Raise $- 2$ to the power of $3$ .

$- 8 \sqrt[3]{x^{2}}$