means to show so as to draw attention to something, to present to one's view, to make known the significance of something. The devil exhibited prominently all the kingdoms of the world for Jesus to see. The point is that the devil wanted Jesus to see his offer clearly, hoping this would entice Him to forgo the Cross. The verb has the significance of trying to explain or demonstrate or convince. Here in Mt 4:8 deiknuo is in the vivid historic present.