Final answer:
The power categorized under state government is to administer education programs, which is a reserved power under the Tenth Amendment. State governments have authority over public education and other areas such as health, safety, and general welfare.
Step-by-step explanation:
The power you would categorize under state government is d. administer education programs. This falls under the Tenth Amendment which created a class of powers exclusive to state governments known as reserved powers. These powers allow states to regulate aspects of daily life including public education, health, safety, and general welfare. For instance, states are in charge of setting educational standards, determining graduation requirements, and overseeing public schools.
Furthermore, state governments have other reserved powers, such as the ability to oversee elections, maintain state militias, regulate commerce within the state, and establish state court systems. They can also levy and collect taxes and ratify amendments to the U.S. Constitution. These powers are exercised to ensure that state laws that most directly affect the daily lives of citizens are effectively managed at the state level.