The integration of agentic AI-driven Robotic Process Automation (RPA) is significantly enhancing strategic management by improving decision-making capabilities and organizational efficiency. Unlike traditional automation systems, agentic AI systems are autonomous and adaptive, allowing businesses to optimize operations, reduce manual intervention, and make real-time, data-driven decisions. This paper examines the benefits of AI-driven RPA, including increased decision accuracy, cost reductions, and operational streamlining, while also addressing challenges such as integration complexity, data privacy concerns, and potential workforce displacement. The research underscores the importance of aligning strategic frameworks, ethics, and training to successfully adopt these technologies. It also highlights the transformative impact of agentic AI on industries such as finance, healthcare, and retail, demonstrating its potential to redefine organizational efficiency and leadership in dynamic environments.