How do you evaluate #-( 2- 4) ^ { 2} - ( \frac { - 4} { - 2} ) ^ { 3}#?

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Answer 1 · 2017-03-19T00:35:15

#-12#

Evaluate by the order of operations: PEMDAS. Start inside the parentheses:

#2-4=--2#

#-4/-2=2#

So now we have:

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

Now, evaluate the exponents:

#(-2)^2=4#

#2^3=8#

So now we have:

#-(4)-(8)#

From here, we can simply subtract:

#-4-8=-12#