Understand the difference between prokaryotic and eukaryotic cells. Prokaryotic cells lack a nucleus and membrane-bound organelles, while eukaryotic cells have these structures.
Identify the domains of life. There are three domains: Bacteria, Archaea, and Eukarya.
Recognize that the domains Bacteria and Archaea consist of prokaryotic organisms, while Eukarya consists of eukaryotic organisms.
Evaluate the options given: Eukarya, Archaea, Bacteria, and Protista. Note that Protista is not a domain but a kingdom within the domain Eukarya.
Conclude that the prokaryotic domains are Archaea and Bacteria, as they consist of organisms without a nucleus.