What is #-[ 3- 3( - 4+ 2)^{2] ]#?

1 Answer
EZ as pi
Sep 18, 2016

#+9#

Explanation:

Start with the innermost bracket.

#-[ 3- 3color(red)(( - 4+ 2))^{2] ]#
#color(white)(xxxxxxxxxxxxxxxxxxx)(-4+2=-2)#
=#-[ 3- 3xxcolor(red)(( - 2)^2)]" "larr# power before multiply
#color(white)(xxxxxxxxxxxxxxxxxxx)(-2)^2=4)#
=#-[ 3color(red)(-3xx4)]#
#color(white)(xxxxxxxxxxxxxxxxxxx)(-3xx4=-12)#
=#-[color(red)(3-12)]#
#color(white)(xxxxxxxxxxxxxxxxxxx)(3-12 =-9)#
=#color(red)(-[-9])#

=#+9#

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