How did the French Revolution in the early 1790s influence the evolution of the American political system?

The correct answer is: "The French revolution was based on the Enlightenment ideas that challenged the power structures of the Old Regime: religion and absolut monarchies, implementing new goverment principles for societies based on reason and popular sovereignty and not in authoritarism".

The Enlightenment philosophers, such as Locke, Monstequieu or Rosseau. introduced ideas that challenged, and ended up derrocating, the power structures of the Old Regime. They promoted reason and the scientific method over religious dogmatism and superstititions.

The main principles developed were the following: definition of bills of citizens' rights, social contract (citizens electing political representatives to create goverments through suffrage, in opposition to the prevailing absolute monarchies whose power was supposed to arise from God's will), and the division of the powers of the state in order to avoid excessive power accumulation in certain sectors, and risks of authoritarism.

These abovementioned principles that were defended by French revolutionaries were adopted during the development of the American political system.