Which is a system with a division of power between a national government and several state governments

Federalism: A Division of Power. A federal system of government, such as in the United States, divides power and responsibilities between the national government and state governments. At first glance, the U.S. Constitution appears to make this division clear.

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where the chairmen of the senate, they served as advisers. they also commanded the Roman army, as well as exercising the highest level of judicial power in the empire