which of the following are the powers kept by the states under the federal system of government int he united states?

The powers kept by the states under the federal system of government in the United States include:

1. Education: States have the primary authority and responsibility for the establishment and operation of educational systems.
2. Police powers: States have the power to maintain order, protect public health, safety, and morals.
3. Intrastate commerce: States regulate and control trade and commerce within their own borders.
4. Family law: States have the power to enact and enforce laws regarding marriage, divorce, child custody, and adoption.
5. Criminal law: States have the authority to enact and enforce criminal laws, establish penalties, and administer justice.
6. Elections: States have the power to establish and regulate the conduct of elections, including voting procedures and redistricting.
7. Licensing and regulation: States have the authority to issue professional and occupational licenses, regulate industries, and enforce quality standards.
8. Land use and zoning: States have the power to regulate land use, development, and zoning within their borders.
9. Health and welfare: States have the primary responsibility for public health and welfare, including the administration of Medicaid and other social welfare programs.
10. Infrastructure and transportation: States have the authority to construct and maintain highways, bridges, ports, and other transportation-related infrastructure.

It's important to note that the division of powers between the federal government and the states is outlined in the United States Constitution, particularly in the Tenth Amendment, which states that any powers not specifically granted to the federal government are reserved for the states or the people.