Final answer:
The Constitution denies certain powers to the federal government, such as infringing on a state's sovereign immunity, regulating purely local activities, and establishing an official religion.
Step-by-step explanation:
The powers that the Constitution denies to the federal government are known as the powers reserved for the states. These powers are outlined in the Tenth Amendment of the Constitution. One example of a power denied to the federal government is the power to infringe on a state's sovereign immunity. This means that the federal government cannot sue a state without its consent.
Another example is the power to regulate purely local activities or matters that are traditionally within the state's control. For instance, the federal government does not have the power to regulate land use or zoning laws within a state.
Lastly, the federal government is also denied the power to establish an official religion or to interfere with the free exercise of religion. This is protected by the First Amendment of the Constitution, which guarantees religious freedom to individuals.
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