Basic Math Examples

$\sqrt[3]{y^{13}} - \sqrt[3]{y z^{3}}$

Step 1

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

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Step 1.1

Factor out $y^{12}$ .

$\sqrt[3]{y^{12} y} - \sqrt[3]{y z^{3}}$

Step 1.2

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

$\sqrt[3]{{(y^{4})}^{3} y} - \sqrt[3]{y z^{3}}$

$\sqrt[3]{{(y^{4})}^{3} y} - \sqrt[3]{y z^{3}}$

Step 2

Pull terms out from under the radical.

$y^{4} \sqrt[3]{y} - \sqrt[3]{y z^{3}}$

Step 3

Reorder $y$ and $z^{3}$ .

$y^{4} \sqrt[3]{y} - \sqrt[3]{z^{3} y}$

Step 4

Pull terms out from under the radical.

$y^{4} \sqrt[3]{y} - z \sqrt[3]{y}$

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