Algebra Examples

$\frac{2 x^{\frac{3}{2}}}{{(16 x^{4})}^{\frac{1}{4}}}$

Step 1

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

$\frac{2 \sqrt{x^{3}}}{{(16 x^{4})}^{\frac{1}{4}}}$

Step 2

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

$\frac{2 \sqrt{x^{3}}}{\sqrt[4]{{(16 x^{4})}^{1}}}$

Step 3

Anything raised to $1$ is the base itself.

$\frac{2 \sqrt{x^{3}}}{\sqrt[4]{16 x^{4}}}$