Final answer:
The 'no law respecting an establishment of religion' means Congress cannot create a national religion or prefer one religion over another and cannot interfere with religious practices.
Step-by-step explanation:
The phrase "Congress shall make no law respecting an establishment of religion" means Congress cannot pass laws that establish an official religion for the United States or favor one religion over others. This is known as the Establishment Clause of the First Amendment. Additionally, the phrase also means that Congress cannot make laws that would interfere with the practice of religion. This is reinforced by the next part of the sentence which says Congress shall make no law "prohibiting the free exercise thereof." Together, these form the basis for religious liberty in the United States, which includes both freedom from a government-imposed religion and freedom to practice the religion of one's choice.