Evaluate the numerical expression. $\frac { 2 ^ { 5 } } { 2 ^ { - 2 } }$
A) $\frac { 1 } { 128 }$
B) $\frac { 1 } { 8 }$
C) 128
D) 8

Question

Quizplus · Accepted Answer

We know that when we divide two powers with the same base, we subtract the exponents. Therefore,

\begin{aligned} \frac { 2 ^ { 5 } } { 2 ^ { - 2 } }&=2^5\div2^{-2}\ &=2^{5+2}\ &=2^7\ &=128 \end{aligned}

Therefore, the answer is choice C.

Evaluate the Numerical Expression 252−2\frac { 2 ^ { 5 } } { 2 ^ { - 2 } }2−225​