The type of cell that does not contain a nucleus or membrane-bound organelles is a prokaryotic cell.

Here's why:

* Prokaryotes are single-celled organisms that lack a true nucleus and other membrane-bound organelles. Their genetic material (DNA) is located in a region called the nucleoid, which is not enclosed by a membrane.

* Eukaryotes, on the other hand, are organisms whose cells contain a nucleus and other membrane-bound organelles.

Examples of prokaryotes include bacteria and archaea.