Final answer:
Louis VI increased Monarchy power by changing local governance structures to ensure royal control over new lands and by securing the loyalty of salaried officials, setting the stage for the absolute Monarchy later epitomized by Louis XIV with centralized power and influence over the nobility.
Step-by-step explanation:
Louis VI increased the power of the Monarchy by restructuring local government and ensuring that salaried royal appointees managed new lands seized from nobles, rather than vassals. This allowed for direct royal control and greater resource mobilization for the French Kings to exert over conflicts with vassals and the church, enhancing royal authority. Furthermore, the French Monarchy under Louis XIV, also known as the 'Sun King,' embraced mercantilism, centralized government power, commanded a strong personal authority and absolute power, and used art and architecture in the service of the state. Louis XIV also required the nobility to reside at Versailles, keeping them within his sphere of influence, which helped to prevent plots and revolts and further centralized his control.
Such centralization of power under the Monarchy culminated in the transformation of France into an absolute Monarchy later exemplified by Louis XIV's long reign and emblematic policies, demonstrating the sustained increase in monarchical authority over centuries.