Raise the monomial to the indicated power. Use the properties of exponents to help with the manipulation. $\left( 2 a ^ { 3 } \right) ^ { 2 }$
A) $2 a ^ { 6 }$
B) $4 a ^ { 5 }$
C) $4 a ^ { 6 }$
D) $2 a ^ { 5 }$

Question

Quizplus · Accepted Answer

When we raise a power to another power, we multiply the exponents. Thus, $\left( 2 a ^ { 3 } \right) ^ { 2 } = 2 ^ 2 a ^ { 3 \cdot 2} = 4 a ^ 6$. Therefore, the best choice is C, $4a^6$.

Raise the Monomial to the Indicated Power (2a3)2\left( 2 a ^ { 3 } \right) ^ { 2 }(2a3)2

Raise the Monomial to the Indicated Power $\left( 2 a ^ { 3 } \right) ^ { 2 }$