Question #241da

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Answer 1 · 2017-10-24T05:41:49

Let's rewrite it:

#=12/3*(-8+(-4)^2-6)+2#

PEMDAS is a good "basic order of operations" acronym for:

PARENTHESES
EXPONENTS
MULTIPLICATION
DIVISION
ADDITION
SUBTRACTION

So, lets start with the power inside the parenthesis:
#(-4)^2 = (-4)(-4) = 16#

#=12/3*(-8+16-6)+2#

Then, inside the parenthesis:
#(-8+16-6) = 2#

#=12/3*2+2#

Then multiplication:
#12/3*2 = 24/3#

#=24/3+2#

Now, addition:
#24/3+2 = 24/3 + 6/3 = (24+6)/3 = 30/3 = 10#