Areal reconstruction

*ˁmḳ - to be strong (Kogan 2015:333)

The origin of Akk.-Ugr. *ˁmḳ ‘to be strong’ is uncertain. Hypothetical WS cognates with the meaning “strength” (notably, Hbr. ˁēmäḳ) are quite doubtful (with HALOT 849 and contra Greenfield 1967:89). Somewhat more promising are Tgr. ˁammäḳä ‘to rob, to defraud’ (WTS 456), Amh. ammäḳä ‘to oppress, to rule by force’. There is no transparent semantic link between Akk.-Ugr. *ˁmḳ ‘to be strong’ and *ˁmḳ ‘to be deep’. According to CAD E 161, Akk. emūḳu ‘strength’ is, in its origin, an anatomical term (“arm”), but there is no etymological support for this conjecture. (Kogan 2015:333)

Akkadian
emūḳu - strength (CAD E 157, AHw. 216)

Cf. Ugaritic ˁmḳ ‘tough, strong’

Ugaritic
ˁmḳ - tough, strong (DUL 165, Watson 2007: 80)

This almost universally accepted interpretation entirely depends on the Akkadian etymology < emūḳu ‘strength’ (Kogan 2015:333). 

It's uncertain whether syllabic am-ḳa reflects the same basic meaning (cf. Huehnergard 1987a:160) or rather belongs to *ˁmḳ ‘to be deep’ (van Soldt 1991:306).