The phrase "exclusive authority" means having the sole power or right to make decisions or take actions in a particular area, without sharing it with others. Full definition
In addition, this bill would grant exclusive authority in any criminal or civil action or administrative proceeding to states which regulate the growing and processing of industrial hemp. (votehemp.com)
Even fewer examine the blind men who play at being exclusive authorities about elephants. (climate-resistance.org)
If you want full custody of your children, it's likely that you want exclusive authority to make all decisions affecting them as well as to have them permanently reside with you. (info.legalzoom.com)