Simplify the given expression.
-$4 ^ { 4 } \cdot 2 ^ { 3 }$
A) 96
B) 2048
C) 1024
D) 2304

Name: Simplify the given expression. -$4 ^ { 4 } \cdot 2 ^ { 3 }$ A) 96 B) 2048 C) 1024 D) 2304
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Question

Quizplus · Accepted Answer

To simplify, use the laws of exponents. 
$$4^4\cdot 2^3 = (2^2)^4 \cdot 2^3$$ 
Since $(a^m)^n = a^{mn}$, we get 
$$(2^2)^4 \cdot 2^3 = 2^{2\cdot4} \cdot 2^3 = 2^{11}$$ 
Therefore, the answer is $2^{11} = 2048$.

Simplify the Given Expression 44⋅234 ^ { 4 } \cdot 2 ^ { 3 }44⋅23

Simplify the Given Expression $4 ^ { 4 } \cdot 2 ^ { 3 }$