Michael Sipser Edition 3 Exercise 4 Question 22 (Page No. 212)

Question

Let $PREFIX-FREE_{REX} = \{\langle R \rangle \mid \text{R is a regular expression and L(R) is prefix-free}\}$. Show that $PREFIX FREE_{REX}$ is decidable. Why does a similar approach fail to show that $PREFIX-FREE_{CFG}$ is decidable?