SOLUTION: Hi I need help solving this problem in College Algebra B. I have this on my test and need to know how to work it out. So Please show me the steps as wll as the snswers. I am so los

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Question 209264: Hi I need help solving this problem in College Algebra B. I have this on my test and need to know how to work it out. So Please show me the steps as wll as the snswers. I am so lost on this I don't know were to being.
Simplify; express answer with only positive exponents.
(x-^3y^3)/(3y^-3)^2
Found 2 solutions by Alan3354, MathTherapy:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
x-^3y^3)/(3y^-3)^2
It's not clear what the exponent of x is.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
(x-^3y^3)/(3y^-3)^2
Is this problem actually %28x%5E-3y%5E3%29%2F%283y%5E-3%29%5E2? I'm assuming it is.
%28x%5E-3y%5E3%29%2F%283y%5E-3%29%5E2 ----> %28%281%2Fx%5E3%29%2A%28y%5E3%29%29%2F%289y%5E-6%29 ----> %28%281%2Fx%5E3%29%2A%28y%5E3%29%29%2F%289%2A%281%2Fy%5E6%29%29 ----> %28%281%2Fx%5E3%29%2A%28y%5E3%29%29%2F%289%2Fy%5E6%29%29 ----> %281%2Fx%5E3%29%2A%28y%5E3%29%2A%28y%5E6%2F9%29
Therefore, %28x%5E-3y%5E3%29%2F%283y%5E-3%29%5E2 = highlight_green%28%28y%5E9%29%2F%289x%5E3%29%29

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Original expression
Let x = 2, and y = 3
Then %28x%5E-3y%5E3%29%2F%283y%5E-3%29%5E2 = %282%5E-3%29%2A%283%5E3%29%2F%28%283%5E2%29%2A%283%5E-3%29%5E2%29 ------> %28%281%2F2%5E3%29%2A%283%5E3%29%29%2F%28%283%5E2%29%2A%283%5E-6%29%29 -----> %28%281%2F2%5E3%29%2A%283%5E3%29%29%2F%28%283%5E2%29%2A%281%2F3%5E6%29%29 -----> %28%281%2F2%5E3%29%2A%283%5E3%29%29%2F%28%283%5E2%29%2F3%5E6%29 -----> %281%2F2%5E3%29%2A%283%5E3%29%2A%28%283%5E6%29%2F3%5E2%29 -----> %283%5E9%29%2F%28%282%5E3%29%2A%283%5E2%29%29 -----> %283%5E7cross%283%5E9%29%29%2F%28%282%5E3%29%2A%28cross%283%5E2%29%29%29 ------> %283%5E7%29%2F%282%5E3%29

Answer
Let x = 2, and y = 3
%28y%5E9%29%2F%289x%5E3%29 = %283%5E9%29%2F%289%2A%282%5E3%29%29 = %283%5E9%29%2F%28%283%5E2%29%2A%282%5E3%29%29 = %283%5E7cross%283%5E9%29%29%2F%28%28cross%283%5E2%29%29%2A%282%5E3%29%29 = %283%5E7%29%2F%282%5E3%29