Select the equivalent expression.
\[\left(\dfrac{a}{ b^3}\right)^{4}=?\]
Choose 1 answer:
Choose 1 answer:
(Choice A)
\[\dfrac{a}{ b^{81}}\]
A
\[\dfrac{a}{ b^{81}}\]
(Choice B)
\[\dfrac{a^{5}}{ b^{7}}\]
B
\[\dfrac{a^{5}}{ b^{7}}\]
(Choice C)
\[\dfrac{a^{4}}{ b^{12}}\]
C
\[\dfrac{a^{4}}{ b^{12}}\]
(Choice D)
\[\dfrac{a^{8}}{ b^{8}}\]
D
\[\dfrac{a^{8}}{ b^{8}}\]
The equivalent expression to $\left(\dfrac{a}{ b^3}\right)^{4}$ is $\dfrac{a^{4}}{ b^{12}}$.
Therefore, the answer is $\boxed{\dfrac{a^{4}}{ b^{12}}}$.