Expert: Scott A Wilson - 9/15/2009

Question
i need help with radical form questions (writing in radical form)

1. x^2/3y^1/3

2. x^3/5y^4/5

3.9^3/2

Thanks for any help

Answer
1. x^2/3y^1/3

I will assume that one is x^2/(3y^(1/3)).
Multiply the top and bottom by y^(2/3) and get
On the bottom, the number has a y^(3/3), which is y^1, which is y.
x^2y^(2/3)/(3y).


2. x^3/5y^4/5
I will assume that the problem is x^3/(5y^(4/5)).
Multiply the top and bottom by y^(1/5).
The answer would then be x^3y^(1/5)/(5y).


3.9^3/2
I will asumme that the problem is 9^(3/2).  Either can be applied first.
9^(1/3) = 3, and 3^3 is 27.  9^3 = 729, and 729^(1/2) is 27.
Either way, the number is 27.