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

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

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

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

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

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