Answer
Choice B
Work Step by Step
Using laws of exponents, the given expression, $
(6x^3)\left( \dfrac{1}{2}x^3 \right)
,$ simplifies to
\begin{array}{l}
\left(6\cdot\dfrac{1}{2}\right)x^{3+3}
\\\\
=3x^6
\end{array}
Hence, the answer is $\text{
Choice B
}$.