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

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Answer 1 · 2017-12-14T22:51:09

$- 45$ $-45$

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

${(24 \div (- 8))}^{2} \cdot (9 - 14) = {(- 3)}^{2} \cdot (9 - 14)$ $(24-:(-8))^2*(9-14)=(-3)^2*(9-14)$

Exponents come second in the order of operations:

${(- 3)}^{2} \cdot (9 - 14) = 9 \cdot (9 - 14)$ $(-3)^2*(9-14)=9*(9-14)$

Due to the parenthesis, do the subtraction first to get

$9 \cdot (- 5)$ $9*(-5)$

And finishing it off gets us the answer of:

$- 45$ $-45$

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