SOLUTION: I can't figure out how to simplify this problem: {{{(12x^(-1/3)y^(1/2))/(3x^(3/5)y^(-2/3))}}} Please help me.

Algebra ->  Exponents-negative-and-fractional -> SOLUTION: I can't figure out how to simplify this problem: {{{(12x^(-1/3)y^(1/2))/(3x^(3/5)y^(-2/3))}}} Please help me.       Log On


   

Question 441289: I can't figure out how to simplify this problem:
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Please help me.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%2812x%5E%28-1%2F3%29y%5E%281%2F2%29%29%2F%283x%5E%283%2F5%29y%5E%28-2%2F3%29%29
divide 3 into 12
%284x%5E%28-1%2F3%29y%5E%281%2F2%29%29%2F%28x%5E%283%2F5%29y%5E%28-2%2F3%29%29
we want to combine exponents of like terms, so they are positive
%284y%5E%281%2F2+%2B2%2F3%29%29%2F%28x%5E%283%2F5%2B1%2F3%29%29
using common denominators
%284y%5E%283%2F6%2B4%2F6%29%29%2F%28x%5E%289%2F15%2B5%2F15%29%29
:
%284y%5E%287%2F6%29%29%2F%28x%5E%2814%2F15%29%29; the top exponents should be 7/6