Question

How do you simplify `(x^(2/5)y)/(xy^(-1/3))`?

Answer 1

Q1. Look at the x's. Do you have more x's in the numerator or denominator?
A1. You have more x's in the denominator. `x^1-x^(2/5)`=`x^(3/5)`

--> `y/(x^(3/5)y^(-1/3)`

Q2. What do we do with the `y^(-1/3)` in the denominator?
A2. We move it to the numerator and make the exponent positive.

--> `(y*y^(1/3))/(x^(3/5)` = `y^(4/3)/x^(3/5)`