Use the order of operations to simplify the expression.
-$\frac{-5(-8)-(5) 4^{2}}{-11-\sqrt{64}+5}$

A) $-\frac{520}{7}$

B) $\frac{180}{7}$

C) -40

D) $\frac{20}{7}$

Question

Use the order of operations to simplify the expression.
-$\frac{-5(-8)-(5) 4^{2}}{-11-\sqrt{64}+5}$

A) $-\frac{520}{7}$

B) $\frac{180}{7}$

C) -40

D) $\frac{20}{7}$

Quizplus · Accepted Answer

First, simplify the numerator: $-5(-8) = 40$ and $4^2 = 16$, so $5 \times 16 = 80$. Thus, the numerator is $40 - 80 = -40$. For the denominator: $\sqrt{64} = 8$, so $-11 - 8 + 5 = -14$. Therefore, the expression simplifies to $\frac{-40}{-14} = \frac{20}{7}$.

Use the Order of Operations to Simplify the Expression −5(−8)−(5)42−11−64+5\frac{-5(-8)-(5) 4^{2}}{-11-\sqrt{64}+5}−11−64​+5−5(−8)−(5)42​

Use the Order of Operations to Simplify the Expression $\frac{-5(-8)-(5) 4^{2}}{-11-\sqrt{64}+5}$