How do you simplify $(-4•2^2)^2 (5•2^3)$ ?

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Answer 1 · 2018-03-10T18:09:04

$color(red)(=10240$

$(-4xx2^2)^2(5xx2^3)$

Law: $color(magenta)((ab)^m=a^mxxb^m$

$=(-4^2xx(2^2)^2)(5xx2^3)$

Law: $color(magenta)((a^m)^n=a^(mn)$

$=(-4^2xx2^4)(5xx2^3)$

$=(16xx16)(5xx8)$

$=256xx40$

$color(red)(=10240$

~Hope this helps! :)

How do you simplify (-4•2^2)^2 (5•2^3)(-4•2^2)^2 (5•2^3)?