Every power that belongs to the U.S. government is specifically listed in the U.S. Constitution, the statement is false because only delegated powers are mentioned in the U.S. constitution implied and inherent powers are not mentioned.
More about the powers:
Delegated Power: The Constitution's Article I, Section 8 expressly grants the federal government certain (also known as enumerated or stated) powers. This includes the authority to enact laws governing commerce, coin money, declare war, build and maintain an army, and establish a post office 27 specified authorities in total.
Implied Power: are implied from the elastic (or "necessary and proper") clause but not defined in the Constitution (Article I, Section 8). The phrase "to make all laws" means that Congress has the authority to "make all laws necessary and suitable for carrying into action the foregoing powers, and other authorities inherent in the government of the United States."
Inherent powers: are not officially mentioned in the Constitution, but they result from the national government's very existence. For instance, the United States has the authority to explore for and/or occupy new territory, mainly because most governments generally assert that right.
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