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Final answer:Archaea and Bacteria are prokaryotes having nonucleusormembrane-boundorganelles. They differ in evolutionary history, genetics, metabolic pathways, and cell wall and membrane composition. Eukarya, on the other hand, are eukaryotes possessing a true nucleus and membrane-bound organelles.Explanation:All living organisms are classified into three domains of life:Archaea,Bacteria, andEukarya. Bacteria and Archaea are both prokaryotes, meaning they lack both a nucleus and true membrane-bound organelles. They differ from each other in evolutionary history, genetics, metabolic pathways, and cell wall and membrane composition. As for Eukarya, this domain contains all eukaryotes. Eukaryotic cells have true nuclei and membrane-bound organelles. Examples of eukaryotes include animal cells, plant cells, fungi, and protists.It is important to mention that some hypotheses propose that eukaryotic cells are a combination of bacterial and archaeal cells, while others hypothesize that eukaryotic and prokaryotic cells developed independently. However, there is still debate about the diverse evolutionary relationship between these life forms.Lastly, it should be noted that prokaryotes, i.e., Bacteria and Archaea, are ubiquitous and inhabit the harshest environments on the planet, from hot springs to permanently frozen environments in Antarctica, indicating their astonishing adaptive capabilities.Learn more aboutEukaryotic Cellshere:brainly.com/question/33920631#SPJ11...