Social collectives often grant power to leaders so they can facilitate collective performance. At present, there is no comprehensive overview of how power influences the effectiveness of different influence mechanisms leaders use to achieve this goal. To help develop such an overview, I review recent research on the positive and negative effects of power on some of these influence mechanisms: leaders’ punishment of norm transgressions, concern for followers, and procedural fairness enactment. I also highlight the role of individual differences and contextual factors in these processes. I end by discussing implications and future research directions.