Algebra Examples

$\frac{{(x^{2} y^{3})}^{\frac{1}{3}}}{\sqrt[3]{x^{2} y}}$

Step 1

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

$\frac{\sqrt[3]{{(x^{2} y^{3})}^{1}}}{\sqrt[3]{x^{2} y}}$

Step 2

Anything raised to $1$ is the base itself.

$\frac{\sqrt[3]{x^{2} y^{3}}}{\sqrt[3]{x^{2} y}}$