Answer
$5n^{\frac{1}{10}}$
Work Step by Step
Using the rule $\frac{a^{m}}{a^{n}}=a^{m-n}$, we obtain:
$\frac{30n^{\frac{1}{2}}}{6n^{\frac{2}{5}}}$
=$\frac{30}{6}\times\frac{n^{\frac{1}{2}}}{n^{\frac{2}{5}}}$
=$5\times n^{\frac{1}{2}-\frac{2}{5}}$
=$5\times n^{\frac{1(5)-2(2)}{10}}$
=$5\times n^{\frac{5-4}{10}}$
=$5\times n^{\frac{1}{10}}$
=$5n^{\frac{1}{10}}$
