The benefit of a strong federal government and the weak state government is that the federal government would be able to make laws that would affect all of the states.
The federalists were the ones that made the call for a stronger central government in the United States. The reason for this was so that the federal government would have the powers to maker laws and also carry out decisions that would affect all of the states. This would mean that there would be a lead on all of the states in the nation.
By this they federal government would have more control and power would be well rested at the head.
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