How do you simplify sqrt (a^2/b^5) ?

May 2, 2018

The general formula of interest here is ${\left({x}^{a}\right)}^{b} = {x}^{a b}$
So, ${\left({a}^{2} / {b}^{5}\right)}^{\frac{1}{2}} =$
${a}^{\frac{2}{2}} / {b}^{\frac{5}{2}} =$
$\frac{a}{\sqrt{{b}^{5}}}$ or $\sqrt{\frac{{a}^{2}}{{b}^{5}}}$ or $\frac{a}{b} ^ \left(2.5\right)$