There are two words being used, hyperecho (to be exalted [state]) and exousia. Here are some lexicons which further indicate the appropriate application of this word to civil governing authorities, and it is the only usage of this term appropriate for the context.
37.38 ἐξουσίαd, ας f: one who has the authority to rule or govern—‘an authority, ruler.’ ὅταν δὲ εἰσφέρωσιν ὑμᾶς ἐπὶ … τὰς ἐξουσίας, μὴ μεριμνήσητε ‘when they bring you (to be tried) before … the authorities, do not be worried’ Lk 12:11.
Louw, J. P., & Nida, E. A. (1996). Greek-English lexicon of the New Testament: based on semantic domains
⑤ bearer of ruling authority
ⓐ human authorities, officials, government (Dionys. Hal. 8, 44; 11, 32; POxy 261, 15) Lk 12:11 (here and elsewh. in NT w. ἀρχή, as also in Pla.); Ro 13:1, 2, 3 (with 13:1b cp. the express. ‘ancient saying’ [s. Hes., Theogony 96 ἐκ δὲ Διὸς βασιλῆες. On this HFränkel, Dichtung u. Philos. des frühen Griechentums ’62, 111 n. 6] in Artem. 2, 36 p. 135, 24; 2, 69 p. 161, 17 τὸ κρατοῦν δύναμιν ἔχει θεοῦ=the ruling power has its authority from God; Wsd 6:3; Jos., Bell. 2, 140 οὐ δίχα θεοῦ περιγενέσθαι τινὶ τὸ ἄρχειν … ἐξουσίαν); Tit 3:1. For the view that the ἐ. of Ro 13 are spirit powers, as b below, s. OCullmann, Christ and Time (tr. Filson) ’50, 191–210.—On the subj. in gener. s. LGaugusch, D. Staatslehre d. Ap. Pls nach Ro 13: ThGl 5, ’34, 529–50; JUitman, Onder Eig. Vaandel 15, ’40, 102–21; HvCampenhausen, ABertholet Festschr. ’50, 97–113; OCullmann, Zur neuesten Diskussion über die ἐξουσίαι in Rö 13:1: TZ 10, ’54, 321–36, D. Staat im NT ’612 (Eng. tr.: The State in the NT ’56, 93–114); against him AStrobel, ZNW 47, ’56, 67–93.—GCaird, Princip. and Powers ’56; RMorgenthaler TZ 12, ’56, 289–304; CMorrison, The Powers That Be ’60; EBarnikol, Rö 13. Der nichtpaulinische Ursprung der absoluten Obrigkeitsbejahung v. Rö 13:1–7 ’61, 65–133; HSchlier, Principalities and Powers in the NT ’61 (Eng. tr.); MBorg, NTS 19, ’72/73, 205–18. οἱ ἐπʼ ἐξουσίαν ἀχθέντες those who are brought before the authorities Hs 9, 28, 4.
ⓑ of transcendent rulers and functionaries: powers of the spirit world (TestLevi 3:8; TestSol 20:15 B), sg. (w. ἀρχή and δύναμις) 1 Cor 15:24; Eph 1:21; Col 2:10. Pl. (w. ἀρχαί as Just., D. 41, 1; cp. Orig., C. Cels. 4, 29, 22) Eph 3:10; 6:12; Col 1:16; 2:15; (w. ἄγγελοι, δυνάμεις) 1 Pt 3:22. Cp. the v.l. for ἄρχειν Papias (4).
Arndt, W., Danker, F. W., Bauer, W., & Gingrich, F. W. (2000). A Greek-English lexicon of the New Testament and other early Christian literature (3rd ed., p. 353). Chicago: University of Chicago Press.