Question

Can someone help me this is Algebra 2 thank you

Answer 1

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 ...

  $\left(3^\frac{1}{5}\right)^2=3^{\frac{1}{5}\cdot2}=3^{2\cdot\frac{1}{5}}=\left(3^2\right)^\frac{1}{5}\\\\=9^\frac{1}{5}=\boxed{\sqrt[5]{9}}$