The problem asks to simplify the expression $(\frac{5x}{2})^{-1}$.

1. Problem Description

The problem asks to simplify the expression $(\frac{5x}{2})^{-1}$.

2. Solution Steps

To simplify the expression $(\frac{5x}{2})^{-1}$, we use the property that $(a/b)^{-1} = b/a$. Therefore,

$(\frac{5x}{2})^{-1} = \frac{2}{5x}$.

3. Final Answer

The final answer is $\frac{2}{5x}$.