Final answer:
The courts that assist Congress in exercising its powers under Article I of the Constitution include the U.S. District Courts, U.S. Circuit Courts of Appeals, and the Supreme Court, as established and organized through congressional legislation over time.
Step-by-step explanation:
The courts that help Congress exercise its power according to Article I of the Constitution include all the federal courts: U.S. District Courts, U.S. Circuit Courts of Appeals, and the Supreme Court. The Judicial Act of 1789 laid the groundwork for the current federal judicial system, creating lower courts and defining their roles within the system. As time went on, Congress expanded their jurisdiction and altered the system through legislation, but the three-tiered structure with district courts at the base, circuit courts as the middle appellate layer, and the Supreme Court at the top remains the backbone of the federal judiciary today. Congress has also created various specialized courts, such as bankruptcy courts and Article I or legislative courts, to handle specific areas of federal law.