Answer
$10n^{\frac{1}{4}}$
Work Step by Step
Recall the following rule: $a^{n}\cdot a^{m}=a^{n+m}$. Therefore, we obtain:
$(5n^{\frac{3}{4}})(2n^{-\frac{1}{2}})$
$=(5\times2)(n^{\frac{3}{4}-\frac{1}{2}})$
$=(10)(n^{\frac{3-2}{4}})$
$=10n^{\frac{1}{4}}$
