Precalculus Examples

$3 x^{\frac{2}{5}} - 4 x^{\frac{1}{3}}$

Step 1

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

$3 \sqrt[5]{x^{2}} - 4 x^{\frac{1}{3}}$

Step 2

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

$3 \sqrt[5]{x^{2}} - 4 \sqrt[3]{x^{1}}$

Step 3

Anything raised to $1$ is the base itself.

$3 \sqrt[5]{x^{2}} - 4 \sqrt[3]{x}$