Algebra Examples

$\sqrt[3]{x^{13}}$

Step 1

Rewrite $x^{13}$ as ${(x^{4})}^{3} x$ .

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Step 1.1

Factor out $x^{12}$ .

$\sqrt[3]{x^{12} x}$

Step 1.2

Rewrite $x^{12}$ as ${(x^{4})}^{3}$ .

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

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

Step 2

Pull terms out from under the radical.

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

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