Algebra Examples

$\sqrt[3]{\frac{27}{64}}$

Step 1

Rewrite $\sqrt[3]{\frac{27}{64}}$ as $\frac{\sqrt[3]{27}}{\sqrt[3]{64}}$ .

$\frac{\sqrt[3]{27}}{\sqrt[3]{64}}$

Step 2

Simplify the numerator.

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Step 2.1

Rewrite $27$ as $3^{3}$ .

$\frac{\sqrt[3]{3^{3}}}{\sqrt[3]{64}}$

Step 2.2

Pull terms out from under the radical.

$\frac{3}{\sqrt[3]{64}}$

Step 3

Simplify the denominator.

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Step 3.1

Rewrite $64$ as $4^{3}$ .

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

Step 3.2

Pull terms out from under the radical.

$\frac{3}{4}$