Question

Simplify (y x y^1/3)^3/2

Answer 1

Answer:

y^2

Step-by-step 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