Answer:
Order of exponentiation can be swapped here, and the fractional power written as a root.
Step-by-step 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 ...
[tex]\left(3^\frac{1}{5}\right)^2=3^{\frac{1}{5}\cdot2}=3^{2\cdot\frac{1}{5}}=\left(3^2\right)^\frac{1}{5}\\\\=9^\frac{1}{5}=\boxed{\sqrt[5]{9}}[/tex]
