From epi and the base of trope; to turn over (transfer), i.e. Allow -- give leave (liberty, license), let, permit, suffer.
see GREEK epi
see GREEK trope
1. to turn to, transfer, commit, intrust.
2. to permit, allow, give leave: 1 Corinthians 16:7; Hebrews 6:3; τίνι, Mark 5:13; John 19:38; with an infinitive added, Matthew 8:21; Matthew 19:8; Luke 8:32; Luke 9:59, 61; Acts 21:39; 1 Timothy 2:12; and without the dative Mark 10:4; followed by an accusative with an infinitive Acts 27:3 (where L T Tr WH πορευθέντι); cf. Xenophon, an. 7, 7, 8; Plato, legg. 5, p. 730 d. Passive ἐπιτρέπεται τίνι, with an infinitive: Acts 26:1; Acts 28:16; 1 Corinthians 14:34. STRONGS NT 2010a: ἐπιτροπεύω [ἐπιτροπεύω; (from Herodotus down); "to be ἐπίτροπος or procurator": of Pontius Pilate in Luke 3:1 WH (rejected) marginal reading; see their Appendix at the passage.