How do you simplify #(6 x^9 y^-8)(7 x^2 y^3)#?

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Answer 1 · 2015-06-06T14:54:50

#(6 x^9 y^-8)(7 x^2 y^3)#

We know that #color(blue)(a^m.a^n = a^(m+n)#

Applying the above property to the exponents of #x# and #y# in the expression:

#color(blue)(x^9.x^2) = x^(9+2)#

#color(blue)(y^-8.y^3) = y^(-8 +3)#

#=(color(red)(6 . 7)) . color(blue)(x^(9+2)) . color(green)(y^(-8+3))#

#=42x^11y^-5#