The term exarch (pronounced as /ˈɛksɑːrk/), comes from Ancient Greek: ἔξαρχος (exarchos) and designates holders of various historical offices, some of them being political or military, and others being ecclesiastical.
In the late Roman Empire and early Byzantine Empire, an exarch was a governor of a particular territory. Since the end of 3rd century, every Roman diocese was governed by vicarius who was called "exarch" in eastern parts of the Empire, dominated by Greek language and the use of Greek terminology. The office of exarch as a governor with extended political and military authority was later created in Byzantine Empire, with jurisdiction over a particular territory, usually a frontier region at some distance from the capital Constantinople.
In the Eastern Christian Churches (Eastern Orthodox, Oriental Orthodox and Eastern Catholic), the term exarch has three distinct uses: metropolitan who holds the office of exarch is the deputy of a patriarch and holds authority over bishops of the designated ecclesiastical region (thus, a position between that of patriarch and regular metropolitan); or, an auxiliary or titular bishop appointed to be exarch over a group of the faithful not yet large enough or organized enough to be constituted an eparchy or diocese (thus the equivalent of a vicar apostolic); and, a priest or deacon who is appointed by a bishop as his executive representative in various fields of diocesan administration (in Byzantine Empire, executive exarchs were usually collecting diocesan revenues for local bishops).