Final answer:
Under King Louis XIV, the 17th century French court influenced arts and fashions, establishing the Royal Academy of Fine Arts and promoting a classical art style.
Step-by-step explanation:
Under the rule of King Louis XIV, the 17th century French court became a powerful influence on the arts and fashions. King Louis XIV, also known as the "Sun King", centralized the government and used arts and architecture to assert the monarchy's power. He established the Royal Academy of Fine Arts to enforce standards on art and artists, favoring a classicizing style. During his reign, France saw the convergence of Italian Baroque sensibilities and Classical tastes, producing a unique aesthetic in 17th century painting. Notable painters from this period include Simon Vouet, Charles Le Brun, Nicolas Poussin, Claude Lorrain, and Georges de la Tour, whose works reflect this blending of styles.