# How do you write the exponential expression 5x^(5/9) in radical form?

Mar 19, 2018

#### Answer:

The exponential expression is equivalent to $5 \sqrt[9]{{x}^{5}}$.

#### Explanation:

Use this radical rule:

${x}^{\frac{\textcolor{red}{m}}{\textcolor{b l u e}{n}}} = \sqrt[\textcolor{b l u e}{n}]{{c}^{\textcolor{red}{m}}}$

Now here's the exponential expression:

$\textcolor{w h i t e}{=} 5 {x}^{\frac{5}{9}}$

$= 5 \cdot {x}^{\frac{\textcolor{red}{5}}{\textcolor{b l u e}{9}}}$

$= 5 \cdot \sqrt[\textcolor{b l u e}{9}]{{x}^{\textcolor{red}{5}}}$

$= 5 \sqrt[\textcolor{b l u e}{9}]{{x}^{\textcolor{red}{5}}}$

That's it. Hope this helped!