Final answer:
The Judiciary Act of 1789 established the federal judiciary system in the United States, ensuring the distribution of power between the three branches of government.
Step-by-step explanation:
The Judiciary Act of 1789 ensured the distribution of power by establishing the federal judiciary system in the United States. It created three sets of Constitutional courts, including the Supreme Court, District Courts, and Circuit Courts of appeal. This act allowed for a system of checks and balances between the three branches of government and provided a framework for the interpretation and enforcement of laws.