Here's a breakdown:

* Prokaryotes are single-celled organisms that lack a nucleus and other membrane-bound organelles.

* Bacteria are a specific domain of prokaryotes.

* While all bacteria are prokaryotes, not all prokaryotes are bacteria. The other domain of prokaryotes is called Archaea.

So, while bacteria are a type of primitive cell without a nucleus or organelles, it's more accurate to call them prokaryotes to encompass all such organisms, including Archaea.