Precalculus Examples

${(125 x^{6} y^{7})}^{\frac{1}{3}}$

Step 1

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

$\sqrt[3]{{(125 x^{6} y^{7})}^{1}}$

Step 2

Anything raised to $1$ is the base itself.

$\sqrt[3]{125 x^{6} y^{7}}$