How do you multiply #4v ^ { 3} \cdot 5v ^ { 4} #?

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Answer 1 · 2017-07-15T14:12:33

See a solution process below:

First, rewrite the expression as:

#(4 * 5)(v^3 * v^4) =>#

#20(v^3 * v^4)#

Now, use this rule of exponents to complete the multiplication:

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

#20(v^color(red)(3) * v^color(blue)(4)) =>#

#20v^(color(red)(3)+color(blue)(4)) =>#

#20v^7#