The congressional power that would be involved if the united states could pass a law requiring all children of American parents who are born overseas to pass a citizenship test, is the power to enact legislation.
The only branch of the government with the authority to enact new laws or amend existing ones is Congress, which has complete legislative authority. Regulations issued by Executive Branch agencies have complete legal effect, but they can only be enforced because of laws passed by Congress.
This means that the congress would be able to create a law that would have to do with the passing of this tests for these groups of persons to be citizens.
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