186k views
3 votes
Can someone help me this is Algebra 2 thank you

Can someone help me this is Algebra 2 thank you-example-1

1 Answer

5 votes

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}}

User Moak
by
8.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories