# How do you write the expression 7^(4/3) in radical form?

Mar 11, 2017

$\sqrt[3]{{7}^{4}}$

#### Explanation:

Using the $\textcolor{b l u e}{\text{law of exponents}}$

$\textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{2}{2}} \textcolor{b l a c k}{{a}^{\frac{m}{n}} = \sqrt[n]{{a}^{m}}} \textcolor{w h i t e}{\frac{2}{2}} |}}}$

$\text{here "m=4" and } n = 3$

$\Rightarrow {7}^{\frac{4}{3}} = \sqrt[3]{{7}^{4}}$