A prokaryote is a single-celled organism that doesn't have a nucleus. Bacteria are one familiar type of prokaryote.
If you take a biology class, you're likely to learn about prokaryotes, tiny organisms without a distinct nucleus bound by a membrane, like most other living things. Prokaryotes are often contrasted with the single-celled or multicellular eukaryotes, which do have a nucleus. The word prokaryote is rooted in Greek — it combines the word pro, "before," with karyon, "nut or kernel."