# How do you write root3(8^3) as a fractional exponent?

Feb 10, 2017

$8$

#### Explanation:

By example: Suppose we had ${x}^{\frac{a}{b}}$ this is the same as $\sqrt[b]{{x}^{a}}$

So using this example and reversing the process we find that:

$\sqrt[3]{{8}^{3}} \text{ is the same as } {8}^{\frac{3}{3}}$

This is the same as ${8}^{1} = 8$

So $\sqrt[3]{{8}^{3}} = 8$