Question

[\sqrt[5]{16}\times 2^{\frac{1}{5}}\]

Answer 1

Is that the fifth root of 16 multiplied by 2 to the power of one fifth?
You could convert the fifth root of 16 into the fractional index form to help simplify things.

Answer 2

\[\sqrt[5]{16}\times 2^{\frac{1}{5}}\]
you can write that as
\[ 16^\frac{1}{5} \cdot 2^{\frac{1}{5}}\]
and write 16 as 2^4
\[ \left(2^4\right)^\frac{1}{5} \cdot 2^{\frac{1}{5}}\]