LSJ
Med., bring one΄s property to a place of safety, of persons or things which one removes from the dangers of war, ἔστ’ ἂν αὐτοὶ τέκνα τε καὶ τοὺς οἰκέτας ὑπεκθέωνται Hdt. 8.4, cf. 41, Th. 1.89; ἐκ χερῶν κλέψασ’ Ὀρέστην τῶν ἐμῶν ὑπεξέθου S. El. 297; ὃν ἔξω δωμάτων ὑπεξέθου E. Andr. 69; ὑπεκθέμενοι παῖδας ἐς Σαλαμῖνα Lys. 2.34; ὑ. τὰ χρήματα X. Cyr. 6.1.26; τοῖς ὑπεκτεθημένοις (sic) τὰ βοσκήματα διὰ τὸν πόλεμον BCH 54.269 (Rhamnus, iii BC); pueros ὑπεκθέμενος in Graeciam, Cic. Att. 7.17.4, cf. OGI 437.64 (Pergam., i BC); — Pass., ὑπεκτιθέμενοι ἔξω τῆς χώρης οἱ παῖδες… ἥλωσαν Hdt. 5.65.
deposit for re-exportation, εἰ δέ τί κα… ὑπέχθηται (Cret. for ὑπέκθηται) GDI 5040.21; cf. ὑπεκθέσιμος. Act. -τίθημι, expose a new-born child, Lib. Decl. 34.14; in Med. simply, bring forth, γεννᾶν καὶ ὑ. τὸν τόκον Jul. Or. 4.145a.
Liddell-Scott-Jones, Greek-English Lexicon (9th ed., 1940)