How do you multiply #(6x ^ { 7} ) ( - 6x ^ { 9} ) ( 2x ^ { 6} )#?

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Answer 1 · 2017-07-03T02:56:21

See a solution process below:

First, rewrite the expression as:

#(6 * -6 * 2)(x^7 * x^9 * x^6) =>#

#(-36 * 2)(x^7 * x^9 * x^6) =>#

#-72(x^7 * x^9 * x^6)#

Now, use this rule of exponents to multiply the #x# terms:

#x^color(red)(a) xx x^color(blue)(b) = x^(color(red)(a) + color(blue)(b))#

#-72(x^color(red)(7) * x^color(blue)(9) * x^color(green)(6)) =>#

#-72x^(color(red)(7)+color(blue)(9)+color(green)(6)) =>#

#-72x^22#