How do you multiply and simplify #-\frac { 2x ^ { 3} y ^ { - 3} \cdot - 2x ^ { 4} y ^ { 3} } { ( - y ^ { 3} ) ^ { - 1} }#?

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Answer 1 · 2017-03-11T13:46:25

#=-4x^7y^3#

#(-2x^3y^-3 xx -2x^4y^3)/color(green)((-y^3)^-1) = color(red)(-2)color(blue)(x^3)y^-3 xx color(red)(-2)color(blue)(x^4)y^3 xx color(green)(-y^3)#

#=color(red)(4)color(blue)(x^7) xx -y^3#

#=-4x^7y^3#

Answer 2 · 2017-03-11T15:14:30

#-4x^7y^3#

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

#:.=-(((2x^3)/1*1/y^3*-(2x^4y^3)/1)/-y^-3)#

#:.=-((2x^3)/y^3*-(2x^4y^3)/1*(-y^3)/1)#

#:.=-((4x^(3+4)y^(3+3))/y^3)#

#:.=-(4x^7y^6)/y^3#

#:.=-4x^7y^(6-3)#

#:.=-4x^7y^3#