# How do you simplify (3^(1/2) * 5^(2/3)) ^(3/2)?

$5 \times {3}^{\frac{3}{4}}$
${\left({3}^{\frac{1}{2}} \times {5}^{\frac{2}{3}}\right)}^{\frac{3}{2}}$
= ${3}^{\left(\frac{1}{2}\right) \times \left(\frac{3}{2}\right)} \times {5}^{\left(\frac{2}{3}\right) \times \left(\frac{3}{2}\right)}$
= ${3}^{\frac{3}{4}} \times 5$ or $5 \times {3}^{\frac{3}{4}}$