# How do you write 4^(3/2) in radical form?

Jun 29, 2017

$\sqrt{{4}^{3}}$ or $\sqrt{64}$ or $8$

#### Explanation:

${\textcolor{g r e e n}{27}}^{\frac{\textcolor{b l u e}{1}}{\textcolor{red}{3}}}$ is the same as ${\textcolor{w h i t e}{}}^{\textcolor{red}{3}} \sqrt{{27}^{\textcolor{b l u e}{1}}}$. To write an exponent in radical form , the denominator, or index goes in front of the radical, and the numerator goes inside of the radical. We raise the base to the power of the numerator

${\textcolor{g r e e n}{4}}^{\frac{\textcolor{b l u e}{3}}{\textcolor{red}{2}}}$ is the same as $\sqrt{{\textcolor{g r e e n}{4}}^{\textcolor{b l u e}{3}}}$ or

$\sqrt{64}$

$\sqrt{8 \cdot 8}$

$\cancel{\sqrt{{8}^{\cancel{2}}}}$

$8$