" in global affairs which branch of government is the most powerful? "

The correct answer is military

The term military refers to members, institutions, facilities, equipment, vehicles and everything else that is part of an organization authorized to use force, usually including the use of firearms, in the defense of their country through real or perceived threats. As an adjective, the term "military" is also used to refer to any property or aspect of these organizations. Military organizations often function as a society within societies, having their own military communities, economics, education, medicine and other aspects of the functioning of a civil society.

Military power can refer to: Armed forces - set of organizations for the defense and combat of a country. Military power - great power in military terms. Military government - type of government controlled by the military or fractions of an army

during world war ii