The power shared by national and state governments from the options provided is the power to tax. Both levels of government have the authority to impose taxes on individuals and businesses to fund their respective operations and services.
The other options include powers that are either exclusive to one level of government or not typically shared. For example, the power to regulate commerce is primarily a national power, the power to control public education and protect public health is primarily a state power, and the power to regulate the military is an exclusive power of the national government.