Evaluate $\left( - \frac { 2 } { 3 } \right) ^ { - 2 }$
A) $\frac { 9 } { 4 }$
B) $\frac { 4 } { 9 }$
C) $\frac { - 9 } { 4 }$
D) $\frac { 1 } { 4 }$
E) $1$

Name: Evaluate $\left( - \frac { 2 } { 3 } \right) ^ { - 2 }$ A) $\frac { 9 } { 4 }$ B) $\frac { 4 } { 9 }$ C) $\frac { - 9 } { 4 }$ D) $\frac { 1 } { 4 }$ E) $1$
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Question

Quizplus · Accepted Answer

Using the property $a^{-b}=\frac{1}{a^b}$, we get

$$\left(-\frac{2}{3}\right)^{-2}=\frac{1}{\left(-\frac{2}{3}\right)^2}=\frac{1}{\frac{4}{9}}=\boxed{\frac{9}{4}}$$

Evaluate (−23)−2\left( - \frac { 2 } { 3 } \right) ^ { - 2 }(−32​)−2

Evaluate $\left( - \frac { 2 } { 3 } \right) ^ { - 2 }$