Final answer:
State governments in the U.S. have reserved and concurrent powers according to the constitution. Reserved powers are exclusive to the states while concurrent powers are shared by both the state and federal governments.
Step-by-step explanation:
The two sets of powers that state governments have are b) reserved and concurrent powers. Reserved powers are those not expressly given to the national government and are exercised by the states, including intrastate commerce (commerce within borders of a state) and marriage. This is affirmed by the Tenth Amendment.
On the other hand, concurrent powers are shared between the federal and the state governments. An example of this is the power to levy taxes, which is held by both state and federal governments. In this case, there is no express requirement in the constitution to bind the exercise of these powers to one party.
Learn more about State government powers