evaluate. show all work. properties of expoenents/ super helpful property.

Okay, here we have this:
We need to evaluate the following:
[tex]\begin{gathered} a32^{\frac{3}{5}} \\ =a(2^5)^{\frac{3}{5}} \\ =a2^{5\cdot\frac{3}{5}} \\ =a2^3 \\ =8a \end{gathered}[/tex]Finally we obtain that the answer is 8a.