Select the equivalent expression.

Question

\[\left(6^4\cdot 2\right)^{3}=?\]
Choose 1 answer:
Choose 1 answer:
(Choice A)
\[6^{64}\cdot 2^{3}\]
A
\[6^{64}\cdot 2^{3}\]
(Choice B)
\[6^{12}\cdot 6\]
B
\[6^{12}\cdot 6\]
(Choice C)
\[6^{64}\cdot 6\]
C
\[6^{64}\cdot 6\]
(Choice D)
\[6^{12}\cdot 2^{3}\]
D
\[6^{12}\cdot 2^{3}\]

Answer 1

We can simplify the expression as follows: \[\left(6^4\cdot 2\right)^{3} = 6^{4\cdot 3}\cdot 2^{3} = 6^{12}\cdot 2^{3}.\] Therefore, the equivalent expression is $\boxed{\text{(D)}\ 6^{12}\cdot 2^{3}}.$