The word "exterminable" is an adjective that means capable of being destroyed completely. There are several synonyms for this word, including eradicated, eliminated, terminated, wiped out, abolished, obliterated, annulled, extinguished, and eradicated. These words suggest the idea of removing or getting rid of something completely. For instance, eradicated emphasizes on completely rooting out something from its existence while eliminated means removing something from the surface. Similarly, terminated, obliterated, annulled, and extinguished convey the idea of destroying something completely or entirely. All in all, these synonyms of "exterminable" represent a powerful and forceful means of describing the complete removal or elimination of something.