Simplify the expression.
-$\frac { 7 + ( - 5 ) ^ { 2 } + 8 \cdot 8 ^ { 2 } } { 8 ^ { 2 } \cdot ( 7 - 5 ) }$
A) 2
B) $\frac { 17 } { 4 }$
C) $\frac { 472 } { 51 }$
D) 1

Question

Simplify the expression.
-$\frac { 7 + ( - 5 ) ^ { 2 } + 8 \cdot 8 ^ { 2 } } { 8 ^ { 2 } \cdot ( 7 - 5 ) }$
A) 2
B)  $\frac { 17 } { 4 }$
C)  $\frac { 472 } { 51 }$
D) 1

Quizplus · Accepted Answer

First, solve the expression in the numerator: $7 + (-5)^2 + 8 \cdot 8^2 = 7 + 25 + 8 \cdot 64 = 7 + 25 + 512 = 544$. Then, solve the denominator: $8^2 \cdot (7-5) = 64 \cdot 2 = 128$. So, the expression simplifies to $\frac{544}{128} = \frac{17}{4}$.

Simplify the Expression 7+(−5)2+8⋅8282⋅(7−5)\frac { 7 + ( - 5 ) ^ { 2 } + 8 \cdot 8 ^ { 2 } } { 8 ^ { 2 } \cdot ( 7 - 5 ) }82⋅(7−5)7+(−5)2+8⋅82​

Simplify the Expression $\frac { 7 + ( - 5 ) ^ { 2 } + 8 \cdot 8 ^ { 2 } } { 8 ^ { 2 } \cdot ( 7 - 5 ) }$