What do state authorities have regarding powers not detailed in the constitution?

State authorities hold powers not expressly detailed in the Constitution based on the principle of federalism, which is foundational to the U.S. governmental structure. The Tenth Amendment of the U.S. Constitution specifically reserves to the states all powers not delegated to the federal government or prohibited to the states. This includes a broad range of powers relating to the everyday governance of the state, such as education, transportation, and local law enforcement.

Choosing the option that states all such powers are reserved for the states is accurate because it reflects this constitutional framework. State authorities maintain significant autonomy to govern and regulate within their jurisdictions, as long as they do not conflict with federal laws. This autonomy allows states to adapt laws and policies to meet the specific needs and preferences of their residents, thereby creating a diverse mosaic of state laws across the nation.