SOLUTION: Hi, can you please show me how to multiply and simplify this expression: {{{ (4xy^3/x^2y)(y/8x) }}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Hi, can you please show me how to multiply and simplify this expression: {{{ (4xy^3/x^2y)(y/8x) }}}      Log On


   

Question 588119: Hi, can you please show me how to multiply and simplify this expression: +%284xy%5E3%2Fx%5E2y%29%28y%2F8x%29+
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
multiply and simplify this expression: %284xy%5E3%2Fx%5E2y%29%28y%2F8x%29
:
%284xy%5E3%29%2F%28x%5E2y%29*y%2F%288x%29
Combine the exponents of like terms, so that the exponents are positive, then multiply:
%284y%5E%28%283-1%29%29%29%2F%28x%5E%28%282-1%29%29%29*y%2F%288x%29 = %284y%5E2%29%2F%28x%29*y%2F%288x%29 = %284y%5E3%29%2F%288x%5E2%29
then cancel the 4
%28y%5E3%29%2F%282x%5E2%29