SOLUTION: Simplify {{{ (((8x^2)(y^2))/(x^-2)(y^2)))}}}* {{{((4xy^2)^-1)/(x^2y) }}} (4xy^2)^-1 is over (x^2)y, idk why its not showing.

Algebra ->  Exponents -> SOLUTION: Simplify {{{ (((8x^2)(y^2))/(x^-2)(y^2)))}}}* {{{((4xy^2)^-1)/(x^2y) }}} (4xy^2)^-1 is over (x^2)y, idk why its not showing.      Log On


   

Question 981893: Simplify +%28%28%288x%5E2%29%28y%5E2%29%29%2F%28x%5E-2%29%28y%5E2%29%29%29* %28%284xy%5E2%29%5E-1%29%2F%28x%5E2y%29+
(4xy^2)^-1 is over (x^2)y, idk why its not showing.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify +%28%28%288x%5E2y%5E2%29%29%2F%28x%5E-2y%5E2%29%29%29*%28%284xy%5E2%29%5E-1%29%2F%28x%5E2y%29
---------
Cancel the y^2 in the 1st term.
= +%288x%5E2%2F%28x%5E-2%29%29%29*%28%284xy%5E2%29%5E-1%29%2F%28x%5E2y%29
Multiply NUM and DEN by x^2 in the 1st term.
= 8x%5E4*%28%284xy%5E2%29%5E-1%29%2F%28x%5E2y%29
Cancel the x^2
= 8x%5E2*%28%284xy%5E2%29%5E-1%29%2Fy
Multiply NUM and DEN by 4xy^2 in the 2nd term.
= 8x%5E2*1%2F4xy%5E3
= 8x%5E2%2F4xy%5E3
= 2x%2Fy%5E3
==============================
There's no trick, just be careful.