Evaluate each of the following
-$$4 ^ { 2 } \cdot 4 ^ { - 3 }$$
A) 4
B) 1
C) $16 \frac { 1 } { 64 }$
D) $\frac { 1 } { 4 }$
E) None of these

Name: Evaluate each of the following -\[4 ^ { 2 } \cdot 4 ^ { - 3 }\] A) 4 B) 1 C) $16 \frac { 1 } { 64 }$ D) $\frac { 1 } { 4 }$ E) None of these
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Question

Evaluate each of the following
-$$4 ^ { 2 } \cdot 4 ^ { - 3 }$$ 
A) 4
B) 1
C) $16 \frac { 1 } { 64 }$
D) $\frac { 1 } { 4 }$
E) None of these

Quizplus · Accepted Answer

The expression can be simplified using the property of exponents: $a^m \cdot a^n = a^{m+n}$. Here, $4^2 \cdot 4^{-3} = 4^{2-3} = 4^{-1} = \frac{1}{4}$.

Evaluate Each of the Following - 42⋅4−34 ^ { 2 } \cdot 4 ^ { - 3 }42⋅4−3

Evaluate Each of the Following
- $4 ^ { 2 } \cdot 4 ^ { - 3 }$