How do you multiply #(2b ^ { 3} ) ( 4a ^ { 2} b c )#?

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Answer 1 · 2017-06-02T19:47:01

See a solution process below:

First, rewrite this expression as:

#(2 * 4)a^2(b^3 * b)c =>#

#8a^2(b^3 * b)c#

We can now use these rules for exponents to multiply the #b# terms:

#a = a^color(blue)(1)# and #x^color(red)(a) xx x^color(blue)(b) = x^(color(red)(a) + color(blue)(b))#

#8a^2(b^color(red)(3) * b^color(blue)(1))c => 8a^2(b^(color(red)(3)+color(blue)(1)))c =>#

#8a^2b^4c#