Simplify.
-$\left[ 2 | 7 - 8 | ^ { 7 } - ( - 2 ) \right] \div ( - 2 )$
A) 2
B) 0
C) -4
D) -2

Question

Simplify.
-$\left[ 2 | 7 - 8 | ^ { 7 } - ( - 2 ) \right] \div ( - 2 )$
A) 2
B) 0
C)  -4 
D)  -2

Quizplus · Accepted Answer

First, simplify inside the absolute value: $|7 - 8| = |-1| = 1$. Then, raise 1 to the 7th power, which is still 1. Add the result to $-2$, getting $-1$. Finally, divide by $-2$, resulting in $0.5$, which is not an option, indicating a mistake in my initial calculation. Let's correct that: The correct simplification inside the brackets is $2 \times 1^{7} - (-2) = 2 + 2 = 4$. Dividing by $-2$ gives $-2$, making the correct choice D.

Simplify - [2∣7−8∣7−(−2)]÷(−2)\left[ 2 | 7 - 8 | ^ { 7 } - ( - 2 ) \right] \div ( - 2 )[2∣7−8∣7−(−2)]÷(−2)

Simplify
- $\left[ 2 | 7 - 8 | ^ { 7 } - ( - 2 ) \right] \div ( - 2 )$