# How do you write the exponential expression 8x^(8/7) in radical form?

Jul 31, 2017

$8 {x}^{\frac{8}{7}} = 8 {\left(\sqrt[7]{x}\right)}^{8}$

#### Explanation:

Consider ${x}^{\frac{a}{b}} = {\left({x}^{\frac{1}{b}}\right)}^{a} = {\left(\sqrt[b]{x}\right)}^{a}$

In this case $a = 8$ and $b = 7$

So,

$8 {x}^{\frac{8}{7}} = 8 {\left(\sqrt[7]{x}\right)}^{8}$