How do you evaluate #3w ^ { 2} \times 2w ^ { 3}#?

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Answer 1 · 2017-10-31T02:25:34

See a solution process below:

First, rewrite the expression as:

#(3 xx 2)(w^2 xx w^3) =>#

#6(w^2 xx w^3)#

Now, use this rule for exponents to evaluate the #w# terms:

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

#6(w^color(red)(2) xx w^color(blue)(3)) =>#

#6w^(color(red)(2) + color(blue)(3)) =>#

#6w^5#