# How do you simplify (x^(1/3)+x^(-1/3))^2?

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