Final answer:
Louis XIV enhanced his power by establishing control over art and artistic education and ruling with absolute power.
Step-by-step explanation:
Louis XIV enhanced his power by distracting his critics, both nobility and regular people, through various means. One way he did this was by establishing the Royal Academy of Fine Arts and controlling matters of art and artistic education. By imposing a classicizing style and other regulations on art and artists, he promoted the idea of the monarchy and gained support from artists. Additionally, Louis XIV centralized power and ruled with absolute power, which prevented any checks on his authority and limited the ability of his critics to oppose him.