Express using positive exponents. Then simplify.
-$\left( \frac { 1 } { 2 } \right) ^ { - 2 }$
A) 4
B) $\frac { 1 } { 4 }$
C) $- \frac { 1 } { 4 }$
D) $- 4$

Question

Quizplus · Accepted Answer

To express $\left( \frac { 1 } { 2 } \right) ^ { - 2 }$ with positive exponents and simplify, we use the rule $a^{-n} = \frac{1}{a^n}$. Thus, $\left( \frac { 1 } { 2 } \right) ^ { - 2 } = \frac{1}{\left(\frac{1}{2}\right)^2} = \frac{1}{\frac{1}{4}} = 4$.

Express Using Positive Exponents (12)−2\left( \frac { 1 } { 2 } \right) ^ { - 2 }(21​)−2

Express Using Positive Exponents $\left( \frac { 1 } { 2 } \right) ^ { - 2 }$