The fifth root of a number is the same as raising that number to the power of 1/5, and the square root of a number is the same as raising that number to the power of 1/2. So, we have:
$$
\sqrt[5]{a^{3} b} \sqrt{a b} = a^{3/5}b^{1/5} \cdot a^{1/2}b^{1/2}
$$
Show more…