Precalculus Examples

\frac{x^{\frac{7}{3}}}{y^{\frac{6}{5}}}

$\frac{x^{\frac{7}{3}}}{y^{\frac{6}{5}}}$

Step 1

Apply the rule

x^{\frac{m}{n}} = \sqrt[n]{x^{m}}

$x^{\frac{m}{n}} = \sqrt[n]{x^{m}}$ to rewrite the exponentiation as a radical.

\frac{\sqrt[3]{x^{7}}}{y^{\frac{6}{5}}}

$\frac{\sqrt[3]{x^{7}}}{y^{\frac{6}{5}}}$

Step 2

Apply the rule

x^{\frac{m}{n}} = \sqrt[n]{x^{m}}

$x^{\frac{m}{n}} = \sqrt[n]{x^{m}}$ to rewrite the exponentiation as a radical.

\frac{\sqrt[3]{x^{7}}}{\sqrt[5]{y^{6}}}

$\frac{\sqrt[3]{x^{7}}}{\sqrt[5]{y^{6}}}$

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