# How do you write the exponential expression 5x^(5/7) in radical form?

May 9, 2016

$5 \sqrt[7]{{x}^{5}}$

#### Explanation:

$5 {x}^{\frac{5}{7}} = 5 \times {x}^{\frac{5}{7}}$

and in general $\textcolor{red}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{{a}^{\frac{m}{n}} = \sqrt[n]{{a}^{m}}} \textcolor{w h i t e}{\frac{a}{a}} |}}}$

here m = 5 and n = 7

$\Rightarrow 5 {x}^{\frac{5}{7}} = 5 \sqrt[7]{{x}^{5}}$