Exerchomai combines ex (out of) and erchomai (to come/go). It is one of the most common verbs in the New Testament, appearing over 200 times. Jesus frequently 'goes out' to pray, to minister, to face the cross. Demons 'come out' when commanded. The word of God 'goes out' from Jerusalem. The gospel 'proceeds' from the Father. Movement out of one sphere into another defines the word.
The theological freight of exerchomai is enormous. In John's Gospel, Jesus repeatedly speaks of having 'come out from' the Father — it is a word of divine mission and origin (John 8:42; 13:3; 16:28). The incarnation is the ultimate exerchomai: God coming out of the eternal sphere into the temporal. Demons coming out of possessed people signal the arrival of the Kingdom. The Great Commission sends disciples 'out.' To follow Jesus is to be always 'going out' — to the margins, the lost, the broken.