Quick Definition
ἀνεξιχνίαστος, ον Adj incomprehensible
Strong's Definition
from 1 (as a negative particle) and a presumed derivative of a compound of 1537 and a derivative of 2487; not tracked out, i.e. (by implication) untraceable
KJV Usage: past finding out; unsearchable
UBS Dictionary of the Greek New Testament
adjc. | -ον | ἴχνος
1 ROM 11:33 It is possible that ἀνεξεραύνητος and ἀνεξιχνίαστος are somewhat different in meaning, but they appear to be used in ROM 11:33 as very close synonyms. From a semotactic standpoint, however, it is easy to see why ἀνεξεραύνητα would be combined with κρίματα and ἀνεξιχνίαστοι would be combined with ὁδοί.
UBS Dictionary of the Greek New Testament © United Bible Societies, licensed CC BY-SA 4.0.
Thayer's Greek Lexicon
ἀνεξιχνίαστος, -ov, (a priv. and ἐξιχνιάζω to trace out), that cannot be traced out, that cannot be comprehended, ΓΑ. V. unsearchable]: Ro. xi. 33; Eph. iii. 8. (Job v. 9; ix. 10; [xxxiv. 24]; Or. Manass. 6 [see Sept. ed. Tdf., Proleg. § xxix.]; several times in eccl. writ.)
Mounce Concise Greek Dictionary
ἀνεξιχνίαστος anexichniastos 2x
to track out, ἴξνος, a track which cannot be explored, inscrutable, incomprehensible, Rom. 11:33; Eph. 3:8*
Abbott-Smith Greek Lexicon
† ἀνεξιχνίαστος, -ον
(< ἀ- neg., ἐξιχνιάζω, to track out; < ἴχνος), [in LXX: Jb 5:9 9:10 34:24 (חֵקֶר אֵין)*;]
that cannot be traced out: Ro 11:33, Eph 3:8 (MM, VGT, s.v.).†
Moulton & Milligan — Vocabulary of the Greek NT
ἀνεξιχνίαστος. This word seems to have been borrowed by Paul (Rom 1138, Eph 38) trom Job (55, 919, 3455), and is re-echoed in early Fathers.
Liddell-Scott-Jones — Greek-English Lexicon
ἀνεξιχνίαστος (anexichniastos) — unsearchable. ἀνεξ-ιχνίαστος, ον, unsearchable, inscrutable, [LXX+NT]