When referring to states having greater power, it means that they would have an increased ability or authority to make decisions and influence policy within their own jurisdictions.
Related terms
Devolution: Devolution is the transfer of powers from a central government to regional or local governments.
Home Rule: Home rule refers to the ability of local governments to exercise a degree of self-governance within their respective jurisdictions.
Reserved Powers: Reserved powers are those powers not specifically granted to the federal government by the U.S. Constitution and are therefore reserved for the states.