Reserved (^_-)
powers that are not in the constitution do not exist any where else. (legaly)
State government powers are not explicitly spelled out in the Constitution
State constitutions.
State governments have powers in areas such as education, public health, transportation, and intrastate commerce. They also have the authority to regulate land use, conduct state elections, and establish local governments. These powers are outlined in the Tenth Amendment to the US Constitution, which reserves all powers not specifically granted to the federal government to the states.
Any and all powers not specifically given to the federal government are reserved for the people and the states.
Article 1 Section 8 of the Constitution of the United States lists eighteen "enumerated powers" of the Congress. The 9th and 10th Amendments, as part of the Bill of Rights, specifically limit the Congress from taking actions that are not explicitly authorized, stating that powers not listed are reserved to the People or to the States.
These powers are referred to as implied powers, powers that are not explicitly granted to Congress in the U.S. Constitution. The opposite would be expressed powers.
Setting up public schools
In the US and under the US Constitution, states have all the powers not granted to the Federal government. The US states have many powers and authority over many issues as long as the states do not violate the US Constitution.
The states and the people-
Enumerated Powers are those delegated to the federal government by the Constitution. Unenumerated powers are those not stated in the Constitution, and reserved powers are those protected by the 9th and 10th amendments but which are not listed in the Constitution specifically.So Enumerated Powers is the answer you want.
It is the Enumerated Powers the 17 powers gauranteed to congress according to Article 1 Section 8 of the US Constitution.