a major difference between monarchial power and a republic is
Republic A republic (Latin: res publica) is a form of government in which the country is considered a "public matter", not the private concern or property of the rulers. The primary positions of power within a republic are not inherited. It is a form of government under which the head of state is not a monarch.[1][2][3]
Federal republic In a federal republic, there is a division of powers between the federal government, and the government of the individual subdivisions. While each federal republic manages this division of powers differently, common matters relating to security and defense, and monetary policy are usually handled at the federal level, while matters such as infrastructure maintenance and education policy are usually handled at the regional or local level. However, views differ on what issues should be a federal competence, and subdivisions usually have sovereignty in some matters where the federal government does not have jurisdiction. A federal republic is thus best defined in contrast to a unitary republic, whereby the central government has complete sovereignty over all aspects of political life. This more decentralized structure helps to explain the tendency for more populous countries to operate as federal republics.[2] Most federal republics codify the division of powers between orders of government in a written constitutional document.