"Power base" refers to the foundation of support a person or group has to wield influence and control. There are several synonyms for this term, including "influence hub", "control center", "command post", and "dominance stronghold". Other related terms include "power center", "seat of power", "source of authority", and "nerve center". These phrases all convey the idea of a central location or group that exerts significant influence and control over others. The use of synonyms helps to add variety and nuance to language, allowing writers and speakers to communicate their ideas with greater depth and precision.