Answer :

To name the compound [tex]\(Br_8P_4\)[/tex], we follow the rules for naming molecular compounds, which involve using prefixes to indicate the number of atoms of each element in the compound. Here is the detailed, step-by-step solution:

1. Identify the Elements:
- The compound is composed of Bromine (Br) and Phosphorus (P).

2. Determine the number of atoms for each element:
- There are 8 Bromine atoms.
- There are 4 Phosphorus atoms.

3. Naming the first element (Bromine in this case):
- Bromine remains "Bromine" but needs a prefix for the number of atoms.
- The prefix for 8 is "octa".

4. Naming the second element (Phosphorus in this case):
- The base name is "phosphorus," but in compound naming, the ending changes to "phosphide".
- The prefix for 4 is "tetra".

5. Combine the elements with their prefixes:
- For the first element: [tex]\(Br_8\)[/tex] becomes "octabromine".
- For the second element: [tex]\(P_4\)[/tex] becomes "tetraphosphide".

Hence, the name of the compound [tex]\(Br_8P_4\)[/tex] is:
```octabromine tetraphosphide```.