Salvo melhor contexto.
Da Wikipedia:
Extermination is the act of killing with the intention of eradicating a population.
* When applied to humans, the term genocide is more often used.

O Oxford fornece um significado antigo da palavra, o qual tem uma pequena probabilidade de se encaixar:
Expulsion from the bounds or limits of a country, state, or community; an instance of this; banishment, excommunication.