Use the Power Rule
-( $\left. 4 ^ { 3 } \right) ^ { - 2 }$
A) $\frac { 1 } { 4096 }$
B) $\frac { 1 } { 1024 }$
C) $- 24$
D) $- 128$

Name: Use the Power Rule -( $\left. 4 ^ { 3 } \right) ^ { - 2 }$ A) $\frac { 1 } { 4096 }$ B) $\frac { 1 } { 1024 }$ C) $- 24$ D) $- 128$
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Question

Quizplus · Accepted Answer

The Power Rule for exponents states that $(a^m)^n = a^{m*n}$. Applying this rule here, $(4^3)^{-2} = 4^{3*(-2)} = 4^{-6}$. Since $4^6 = 4096$, $4^{-6} = \frac{1}{4096}$.

Use the Power Rule - 43)−2\left. 4 ^ { 3 } \right) ^ { - 2 }43)−2

Use the Power Rule
- $\left. 4 ^ { 3 } \right) ^ { - 2 }$