Algebra Examples

$\sqrt[3]{\frac{343}{729}}$

Step 1

Rewrite $\sqrt[3]{\frac{343}{729}}$ as $\frac{\sqrt[3]{343}}{\sqrt[3]{729}}$ .

$\frac{\sqrt[3]{343}}{\sqrt[3]{729}}$

Step 2

Simplify the numerator.

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Step 2.1

Rewrite $343$ as $7^{3}$ .

$\frac{\sqrt[3]{7^{3}}}{\sqrt[3]{729}}$

Step 2.2

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

$\frac{7}{\sqrt[3]{729}}$

Step 3

Simplify the denominator.

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Step 3.1

Rewrite $729$ as $9^{3}$ .

$\frac{7}{\sqrt[3]{9^{3}}}$

Step 3.2

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

$\frac{7}{9}$