How do you evaluate #(24\div ( - 8) ) ^ { 2} \cdot ( 9- 14)#?

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Answer 1 · 2017-12-14T22:51:09

#-45#

Using order of operations, do the operations inside the parenthesis first, so divide 24 by -8

#(24-:(-8))^2*(9-14)=(-3)^2*(9-14)#

Exponents come second in the order of operations:

#(-3)^2*(9-14)=9*(9-14)#

Due to the parenthesis, do the subtraction first to get

#9*(-5)#

And finishing it off gets us the answer of:

#-45#