Final answer:
In multiplayer video games, the term for killing all members of the opposing team is often called a 'team wipe' or 'wipeout'. The term 'extermination' is used in a much different, more serious context, describing atrocities such as genocide.
Step-by-step explanation:
When every member of the opposing team is eliminated in a multiplayer video game, this is often referred to as a 'team wipe' or, in more general gaming slang, a 'wipeout'. In certain games where strategy and elimination of the other team is the objective, this might also be termed as 'acing the team' when a single player is responsible, or a 'team kill' in cooperative play. It's important to note that the term 'extermination' has a very different and much more serious connotation in the real world, often referring to large-scale atrocities committed during acts of genocide where victims are not seen as human by their killers, and killings may be state-sponsored.