97.8k views
4 votes
Simplify (y x y^1/3)^3/2

1 Answer

4 votes

Answer:

y^2

Explanation:

(y x y^1/3)^3/2 would be clearer if written as

(y*y^(1/3))^(3/2).

Because y^a*y^b = y^(a + b), the quantity inside the first set of parentheses becomes

y^(4/3)

and if we apply the power (3/2) to this result, we get:

4 3

(y^(4/3))^(3/2) = y^{ ----- * ----- ) = y^2

3 2

User DaFois
by
7.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.