as it is  used in this verse, comes from a Greek word; used in the Bible with the meanings,

..."Force (literally or figuratively,); specifically miraculous power; (usually, by implication, the miracle itself): --ability, abundance, meaning,might, mightily, mighty, mighty deed, worker of miracle (-s), power, strength; violence, mighty (wonderful) work...

Abingdon's Strong's Exhaustive Concordance of the Bible

How God anointed Jesus of Nazareth with the Holy Ghost and with power: who went about doing good, and healing all that were oppressed of the devil; for God was with him. Acts 10:38

Other verses in which the word 'power' is used with the above meaning:
Mat 6:13, 22:29;
Mark 9:1, 12:24, 13:26, 14:62
Luke 1:17, 1:35, 4:14, 9:1, 10:19, 21:27, 22:69, 24:49
Acts 1:8, 3:12, 4:7, 4:33, 6:8, 8:10,10:38
Rom 1:4, 1:16, 1:20, 9:17, 15:13, 15:19
I Cor 1:18, 1:24, 2:4, 2:5, 4:19, 4:20, 5:4, 6:12, 6:14, 15:24, 15:43
II Cor 4:7, 6:7, 8:3, 12:9, 13:4, 13:10,
Eph 1:19, 3:7, 3:20
Phil 3:10
I Thes 1:5, 2:9
II Tim 1:7, 1:8, 3:5
Heb 1:3, 7:16
I Pet 1:5
II Pet 1:3, 1:16
Rev 4:11, 5:12, 7:12, 11:17, 13:2, 15:8, 17:13, 19:1
Reverance and love toward God, and sgowing this love with obedience to His will, and devotion to serving Him.