Simplify the expression. $\left( 7 x ^ { 8 } \right) ^ { 2 }$
A) $7 x ^ { 16 }$
B) $7 x ^ { 8 }$
C) $49 x ^ { 17 }$
D) $49 x ^ { 16 }$
E) $49 x ^ { 15 }$

Name: Simplify the expression. $\left( 7 x ^ { 8 } \right) ^ { 2 }$ A) $7 x ^ { 16 }$ B) $7 x ^ { 8 }$ C) $49 x ^ { 17 }$ D) $49 x ^ { 16 }$ E) $49 x ^ { 15 }$
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Question

Quizplus · Accepted Answer

When we raise a power to another power, we multiply the exponents. Therefore, $\left( 7 x ^ { 8 } \right) ^ { 2 }= 7 ^2\cdot x ^ {8 \cdot 2 } = 49x^{16}$. Thus, the best choice is D.

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Simplify the Expression $\left( 7 x ^ { 8 } \right) ^ { 2 }$