Archaebacteria and eubacteria are a) prokaryotes b) eukaryotes

While both archaebacteria and eubacteria areprokaryotic, they are evolutionarily different. All prokaryotic cells are unicellular, have a cell wall and lack both a nucleus and membrane-bound organelles.

These both are prokaryotes, they do not have many membrane bound organelles. Their DNA is found in the nucleoid (no membrane), not the nucleus.