Bacteria: *prokaryotic*, (same as prokaryote), and microorganisms. Bacteria is a type of biological cell. 
Archaea: *prokaryote*, meaning they have no cell nucleus. 
Eukaryote: Eukaryotes are organisms whose cells have a nucleus enclosed within membranes, unlike the prokaryote, Eukaryote belongs to the domain Eukaryota or *Eukarya*. (Eukaryotes, eukarya, all the same thing)