exterminate
verb
°To kill all of a population, usually deliberate and especially applied to pests.
"We'll use poison to exterminate the rats."
°To bring a definite end to, finish completely. A rather strong word that implies that what has been ended won't resurface.
"''Even a mass birching at the public school failed to exterminate truancy"
synonyms: annihilate, eradicate, extermine, uproot