Algebra Examples

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

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

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.

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

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

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.

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

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

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