How do you simplify #(16x^3 y)/(-4xy^3) *(-2xy)/(-x^-1)#?

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Answer 1 · 2015-06-04T08:32:06

#(16x^3 y)/(-4xy^3) *((-2xy)/(-x^-1))#

#(16x^3 y)/(-cancelcolor(red)((4x))y^3) *((cancel-cancelcolor(red)(2x)y)/(cancel-x^-1))#

#(cancel16x^3 y)/(-cancel2y^3) *(y)/(x^-1)#

note: #color(blue)(x^m/x^n = x^(m-n) and color(blue)(x^m.x^n = x^(m+n) #

#=(-8x^3 y^2)/((y^3.x^-1))#

#=-8 . x^(3+1) . y^(2-3)#

#=-8 . x^(4) . y^(-1)#

#=(-8 x^4) /y #