The correct answers are A) powers not delegated by the Constitution and C) powers not prohibited by the Constitution.
The other options of the question were B) powers not approved by the Constitution and D) powers not granted by the Constitution.
According to the Constitution, the following powers are reserved for the states: powers not delegated by the Constitution and powers not prohibited by the Constitution.
When the drafters of the United States Constitution discussed the topic of the balance of powers, they decided for a division of powers in the federal system. Indeed, in the 10th Amendment to the United States Constitution, we can find the reference to the powers reserved to the States. It literally says that "The powers not delegated to the United States by the Constitution, nor prohibited by it to the states, are reserved to the States respectively, or to the people." Examples of this power could be education services, owning property, regulation of industries, public security, construction of public infrastructure, and the operation of state courts.