Basic Math Examples

$\frac{\sqrt[3]{y^{4}}}{\sqrt[3]{y^{2}}}$

Step 1

Combine $\sqrt[3]{y^{4}}$ and $\sqrt[3]{y^{2}}$ into a single radical.

$\sqrt[3]{\frac{y^{4}}{y^{2}}}$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Reduce the expression $\frac{y^{4}}{y^{2}}$ by cancelling the common factors.

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Step 2.1.1

Factor $y^{2}$ out of $y^{4}$ .

$\sqrt[3]{\frac{y^{2} y^{2}}{y^{2}}}$

Step 2.1.2

Multiply by $1$ .

$\sqrt[3]{\frac{y^{2} y^{2}}{y^{2} \cdot 1}}$

Step 2.1.3

Cancel the common factor.

$\sqrt[3]{\frac{y^{2} y^{2}}{y^{2} \cdot 1}}$

Step 2.1.4

Rewrite the expression.

$\sqrt[3]{\frac{y^{2}}{1}}$

Step 2.2

Divide $y^{2}$ by $1$ .

$\sqrt[3]{y^{2}}$