The simplest chemical compound containing only carbon and bromine is carbon tetrabromide (CBr₄).

Here's why:

* Carbon (C) has a valency of 4, meaning it can form four bonds.

* Bromine (Br) has a valency of 1, meaning it can form one bond.

To satisfy the valencies of both elements, one carbon atom bonds with four bromine atoms, resulting in the formula CBr₄.