Use the product rule to simplify the expression.
-$( - 2 ) ^ { 7 } \cdot ( - 2 ) ^ { 4 }$
A) $211$
B) $4 ^ { 11 }$
C) $( - 2 ) ^ { 11 }$
D) $- 428$

Name: Use the product rule to simplify the expression. -$( - 2 ) ^ { 7 } \cdot ( - 2 ) ^ { 4 }$ A) $211$ B) $4 ^ { 11 }$ C) $( - 2 ) ^ { 11 }$ D) $- 428$
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Question

Quizplus · Accepted Answer

When multiplying powers with the same base, you add the exponents. Thus, $(-2)^7 \cdot (-2)^4 = (-2)^{7+4} = (-2)^{11}$.

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Use the Product Rule to Simplify the Expression $( - 2 ) ^ { 7 } \cdot ( - 2 ) ^ { 4 }$