Pre-Algebra Examples

\sqrt[3]{x^{15}}

$\sqrt[3]{x^{15}}$

Step 1

Rewrite

x^{15}

$x^{15}$ as

{(x^{5})}^{3}

${(x^{5})}^{3}$ .

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

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

Step 2

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

x^{5}

$x^{5}$

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

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