Algebra Examples

$\sqrt[3]{- 64 x^{5}}$

Step 1

Rewrite $- 64 x^{5}$ as ${(- 4 x)}^{3} x^{2}$ .

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Step 1.1

Rewrite $- 64$ as ${(- 4)}^{3}$ .

$\sqrt[3]{{(- 4)}^{3} x^{5}}$

Step 1.2

Factor out $x^{3}$ .

$\sqrt[3]{{(- 4)}^{3} (x^{3} x^{2})}$

Step 1.3

Rewrite ${(- 4)}^{3} x^{3}$ as ${(- 4 x)}^{3}$ .

$\sqrt[3]{{(- 4 x)}^{3} x^{2}}$

$\sqrt[3]{{(- 4 x)}^{3} x^{2}}$

Step 2

Pull terms out from under the radical.

$- 4 x \sqrt[3]{x^{2}}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$