as is it not stated in the constitution as a federal power the ability to set up schools would be what type of power

If the power to set up schools is not explicitly mentioned in the Constitution as a federal power, it would be considered a reserved power, meaning it falls under the authority of the states. According to the Tenth Amendment of the United States Constitution, any powers that are not specifically granted to the federal government are reserved for the states or the people. Therefore, the ability to establish schools would be within the purview of the states unless otherwise specified by federal legislation or court rulings.