Answer:
Order of exponentiation can be swapped here, and the fractional power written as a root.
Explanation:
The commutative property of multiplication and the rules of exponents apply.
Product of exponents
The rule is ...
(a^b)^c = a^(bc)
Application
The given expression can be rearranged to ...
![\left(3^(1)/(5)\right)^2=3^{(1)/(5)\cdot2}=3^{2\cdot(1)/(5)}=\left(3^2\right)^(1)/(5)\\\\=9^(1)/(5)=\boxed{\sqrt[5]{9}}](https://img.qammunity.org/qa-images/2023/formulas/mathematics/high-school/jnn6spl0a2ydcpz0jgvz.png)