Select the equivalent expression.

Question

Select the equivalent expression.
$$\left(3^4\cdot b^5\right)^{2}=?$$
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
$$3^{8}\cdot b^{10}$$

GPT 3.5 · Accepted Answer

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 $\boxed{\text{(D)}}$