Algebra Examples

$\frac{\sqrt[9]{y^{3}}}{\sqrt[3]{y^{9}}}$

Step 1

Simplify the numerator.

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Step 1.1

Rewrite $\sqrt[9]{y^{3}}$ as $\sqrt[3]{\sqrt[3]{y^{3}}}$ .

$\frac{\sqrt[3]{\sqrt[3]{y^{3}}}}{\sqrt[3]{y^{9}}}$

Step 1.2

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

$\frac{\sqrt[3]{y}}{\sqrt[3]{y^{9}}}$

Step 2

Simplify the denominator.

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Step 2.1

Rewrite $y^{9}$ as ${(y^{3})}^{3}$ .

$\frac{\sqrt[3]{y}}{\sqrt[3]{{(y^{3})}^{3}}}$

Step 2.2

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

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