How do you multiply #(- 3v ^ { 5} a ^ { 3} ) ( - 7v ^ { 5} ) ( - 4v ^ { 4} )#?

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Answer 1 · 2017-05-08T21:49:50

See a solution process below:

First, rewrite this expression as:

#(-3 * -7 * -4)(a^3)(v^5 * v^5 * v^4) =>#

#-84a^3(v^5 * v^5 * v^4)#

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

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

#-84a^3(v^color(red)(5) * v^color(blue)(5) * v^color(green)(4)) => -84a^3v^(color(red)(5)+color(blue)(5)+color(green)(4)) =>#

#-84a^3v^14#