Final answer:
Public education is the power that is not shared by both Federal and state governments, as primary responsibility for it lies with the states.
Step-by-step explanation:
The power that is not shared by both the Federal and state governments, as listed in the options provided, is B) public education. While both levels of government can borrow money, collect taxes, and establish courts, the primary responsibility for public education falls to the individual states. The federal government can influence education through funding and legislation but does not have the same direct role as state governments in managing and funding public schools.