What is $2 c ^ { 3 } \left( 4 c ^ { 2 } \right) 5 c ^ { 2 }$ rewritten using only one exponent?
A) $8 c ^ { 7 }$
B) $40 c$
C) $40 c ^ { 6 }$
D) $40 c ^ { 7 }$
E) $9 c ^ { 7 }$

Question

What is $2 c ^ { 3 } \left( 4 c ^ { 2 } \right) 5 c ^ { 2 }$  rewritten using only one exponent?
A) $8 c ^ { 7 }$
B) $40 c$
C) $40 c ^ { 6 }$
D) $40 c ^ { 7 }$
E) $9 c ^ { 7 }$

Quizplus · Accepted Answer

When we have a power raised to another power, we can multiply the exponents. Applying this property, we get: 
\begin{align*} 2c^3(4c^2)5c^2 &= 2 \cdot 4 \cdot 5 \cdot c^3 \cdot c^2 \cdot c^2 \ &= 40c^{3+2+2}\ &= 40c^7 \end{align*}
Therefore, the answer is choice D.

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What Is $2 c ^ { 3 } \left( 4 c ^ { 2 } \right) 5 c ^ { 2 }$