How do you simplify #(4a)^2a^3#?

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Answer 1 · 2016-02-16T16:57:10

#=color(blue)(16 a^5#

#color(blue)((4a)^2)a^3#

#=color(blue)(4^2 xx a^2) xx a^3#

#=16xx a^2 xx a^3#

By property:
#a^m xx a^n = a^(m+n)#

Applying the above to the exponents of #a#:
#=16xx a^color(blue)((2+3))#

#=16xx a^5#

#=16 a^5#