The best statement that compares the absolutism of Louis XIV and Frederick the Great is:
Louis XIV ruled without limitations on his power, while Frederick the Great had to consider his role as an enlightened despot.
This statement highlights the difference in the nature of their rule. Louis XIV is often referred to as the epitome of absolute monarchy, exercising complete control over his state. In contrast, Frederick the Great of Prussia, while also an absolute monarch, embraced the principles of the Enlightenment and implemented reforms that reflected a consideration for the welfare of his subjects, thus placing some limitations on his rule compared to Louis XIV.