# How do you convert radical expressions to fractional exponents?

Dec 14, 2014

The reciprocal of the number associated with the radical is the power needed.

Examples:

$\sqrt[3]{5} = {5}^{\frac{1}{3}}$
$\sqrt[7]{2} = {2}^{\frac{1}{7}}$

If the radicand (number under the radical sign) has a power in it, the same method still works:

$\sqrt[4]{{9}^{2}} = {9}^{\frac{2}{4}}$

This can be simplified to get ${9}^{\frac{1}{2}}$.