### Instruction: Simplify $\frac{4}{3x^{-3}} \cdot \frac{3x^{2}}{2}$.### Response: So we have $\frac{4}{3x^{-3}} \cdot \frac{3x^{2}}{2}$. Let's simplify each term.
The first term simplifies to $\frac{4}{3} \cdot x^{3}$.
The second term simplifies to $\frac{3}{2} \cdot x^{2}$.
So the whole expression simplifies to $\frac{4}{3} \cdot x^{3} \cdot \frac{3}{2} \cdot x^{2}$.
And that is equal to $2 \cdot x^{5}$.