Final answer:
An occupying power wielding total control over an occupied territory is referred to as a military occupation, which can lead to varying degrees of control, from a sphere of influence to a dictatorship.
Step-by-step explanation:
An occupying power exercising all authority over an occupied territory is typically referred to as a military occupation. This situation often arises during conflicts where one nation seizes control of another's territory and establishes its own governance there. A modern historical example is the Allied occupation of Germany and Japan following World War II. Military occupations can significantly impact the everyday lives of people within the occupied territory, and the occupiers may exercise their authority through various means, including military might, political control, and economic influence. The degree of control can range from establishing sphere of influence, where a foreign power has significant but not necessarily complete control, to a full-fledged dictatorship, in which power is held by a single entity or group with absolute authority over all aspects of life and governance.