SOLUTION: how do i divide rational functions? (10x^4\3xy^2)\(6x^2y\xy^4)

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Question 112959: how do i divide rational functions?
(10x^4\3xy^2)\(6x^2y\xy^4)
Answer by veronica0626(5) About Me  (Show Source):
You can put this solution on YOUR website!
%2810x%5E4%2F3xy%5E2%29%2F%286x%5E2%2Ay%2Fxy%5E4%29
when you divide rational numbers
always start with the operation between terms
here divide 10x%5E4%2F3xy%5E2 and/or 6x%5E2%2Ay%2Fxy%5E4
you can divide them at the same time
then we can get
%2810x%5E3%2F3y%5E2%29%2F%286x%2Fy%5E3%29
if the terms are in its simplest form
you divide them like dividing fractions
you take the reciprocal of the denominator and multiply it to the numerator
%2810x%5E3%2F3y%5E2%29%2A%28y%5E3%2F6x%29%29
divide the product of the numerators by the product of the denominators
%28%2810x%5E3%29%2A%28y%5E3%29%29%2F%28%2818x%29%2A%28y%5E2%29%29]
eliminate what you can eliminate to simplify
then we can get
%28%285x%5E2%29%2A%28y%29%29%2F9