When it comes to synonyms for the phrase "exercises authority," there are a few options to choose from. These include words and phrases such as "wields power," "commands," "rules with an iron fist," "takes charge," "imposes," "dominates," "governs," and "enforces." Each of these phrases conveys a sense of control or dominance that one might hold in a given situation. Whether it be in a workplace, a social setting, or a family dynamic, the ability to exert authority can be essential in achieving success and maintaining order. Choosing the right synonym for the phrase "exercises authority" can depend on the context and tone of the situation at hand.