Final answer:
Prokaryotes are classified into two domains: Bacteria and Archaea. Bacteria and Archaea are both prokaryotes, while Eukarya includes all eukaryotes.
Step-by-step explanation:
The two domains that prokaryotes are classified into are Bacteria and Archaea. These two domains, along with Eukarya, make up the three domains of life. Bacteria and Archaea are both prokaryotes, meaning they lack a nucleus, while Eukarya includes all eukaryotes, which have a nucleus in their cells.