SOLUTION: I need your help in solving this equation: (3x^2/5xy^5)^3 Please explain how to get the answer.

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Question 711459: I need your help in solving this equation: (3x^2/5xy^5)^3
Please explain how to get the answer.

Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
%28%283x%5E2%29%2F%285xy%5E5%29%29%5E3

Make sure every number and every letter inside the parentheses 
top and bottom has an exponent showing.  If it doesn't, give 
it a 1 exponent:

%28%283%5E1x%5E2%29%2F%285%5E1x%5E1y%5E5%29%29%5E3

Next we remove the parentheses by multiplying every exponent inside
the parentheses by the 3 exponent just outside the parentheses on 
the right:

%283%5E%281%2A3%29x%5E%282%2A3%29%29%2F%285%5E%281%2A3%29x%5E%281%2A3%29y%5E%285%2A3%29%29

%283%5E3x%5E6%29%2F%285%5E3x%5E3y%5E15%29

3³ = 3·3·3 = 27
5³ = 5·5·5 = 125

Replace those:

%2827x%5E6%29%2F%28125x%5E3y%5E15%29

Finally subtract the exponent of
x3 from the exponent of x6
getting x3, and place it in the
numerator because the larger exponent x6
was in the numerator, removing the x³ from
the denominator.

 %2827x%5E3%29%2F%28125y%5E15%29

Edwin