# How do you write c^(3/5) in radical form?

##### 1 Answer
Dec 26, 2016

$\sqrt[\textcolor{b l u e}{5}]{\textcolor{b l a c k}{{c}^{\textcolor{red}{3}}}}$

#### Explanation:

When dealing with exponents which have fractions for exponents we can think of the exponents as having two different parts:

For ${x}^{\frac{\textcolor{red}{a}}{\textcolor{b l u e}{b}}}$ the exponent of $\frac{\textcolor{red}{a}}{\textcolor{b l u e}{b}}$ the numerator and denominator each have a meaning.

The numerator $\textcolor{red}{a}$ is the power of the exponent.

The denominator $\textcolor{b l u e}{b}$ is the root of the exponent and what we will use for the radical we creates.

${c}^{\frac{\textcolor{red}{3}}{\textcolor{b l u e}{5}}} = {c}^{\textcolor{red}{3} \cdot \frac{1}{\textcolor{b l u e}{5}}} = \sqrt[\textcolor{b l u e}{5}]{\textcolor{b l a c k}{{c}^{\textcolor{red}{3}}}}$