Exegeomai combines ex (out) and hegeomai (to lead). It means to lead out, to narrate, to unfold, to explain. In Luke 24:35 the disciples 'narrated' what had happened on the road to Emmaus. In Acts, it describes missionaries reporting to the church what God had done. Most significantly, in John 1:18, the only Son 'has made him known' — the word is exegesato: Jesus has exegeted the Father.
John 1:18 is the highest use of exegeomai: 'No one has ever seen God; the only God, who is at the Father's side, he has made him known [exegesato].' Jesus is the exegete of the Father — the one who leads out the hidden God into visibility and comprehension. All biblical interpretation participates in this: good exegesis serves the exegesis Jesus performed in the incarnation. To interpret Scripture faithfully is to participate in the great unveiling. Every sermon, every commentary, every Bible study is a small echo of the Word made flesh who exegeted the Father.