How do you simplify #(-3a^2)(2a^3)^2#?

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Answer 1 · 2015-09-23T03:35:05

The answer is #-12a^8#.

#(-3a^2) (2a^3)^2#

Apply exponent rule #(a^m)^n=(a^(m*n))#.

Simplify #(2a^3)^2# to #(4a^6)# .

Because in #(-3a^2) (2a^3)^2# the square is being applied to both terms i.e #(2)^2# and #(a^3)^2#

Now,

#(-3a^2) (4a^6)#

Apply exponent rule #(a^m*a^n)=a^(m+n)#.

Simplify.

#-3xx4xxa^(2+6)=#

#-12a^8#