# How do you write root3(b^2) as an exponential expression?

Apr 13, 2017

You have to use that $\sqrt[n]{b} = {b}^{\frac{1}{n}}$

#### Explanation:

Using the equality above your have:

$\sqrt[3]{{b}^{2}} = {\left({b}^{2}\right)}^{\frac{1}{3}}$, so the exponents multiply and you have:

$\sqrt[3]{{b}^{2}} = {b}^{\frac{2}{3}}$