Select the equivalent expression.

Question

\[\left(3^4\cdot b^5\right)^{2}=?\]
Choose 1 answer:
Choose 1 answer:
(Choice A)
\[3^{6}\cdot b^{7}\]
A
\[3^{6}\cdot b^{7}\]
(Choice B)
\[3^{4}\cdot b^{10}\]
B
\[3^{4}\cdot b^{10}\]
(Choice C)
\[3^{4}\cdot b^{7}\]
C
\[3^{4}\cdot b^{7}\]
(Choice D)
\[3^{8}\cdot b^{10}\]
D
\[3^{8}\cdot b^{10}\]

Answer 1

The equivalent expression is \[(3^4 \cdot b^5)^{2} = 3^{4 \cdot 2} \cdot b^{5 \cdot 2} = 3^{8} \cdot b^{10}.\] The correct answer is $\boxed{\text{(D)}}$