# How do you simplify (a^(1/2))^(3/2)?

Use this rule of exponents to simplify: ${\left({x}^{\textcolor{red}{a}}\right)}^{\textcolor{b l u e}{b}} = {x}^{\textcolor{red}{a} \times \textcolor{b l u e}{b}}$
${\left({a}^{\textcolor{red}{\frac{1}{2}}}\right)}^{\textcolor{b l u e}{\frac{3}{2}}} = {a}^{\textcolor{red}{\frac{1}{2}} \times \textcolor{b l u e}{\frac{3}{2}}} = {a}^{\frac{3}{4}}$