I lift up my hand to heaven, i.e. I solemnly swear that I will do what here follows, that as I will deliver my people, so I will fully avenge myself upon all mine enemies, whom I have used as rods to scourge my people. I live for ever, i.e. As sure as I live. Compare Jeremiah 4:2 Hebrews 6:13 Revelation 10:5,6.
Related Commentaries of Deuteronomy 32:40
Deuteronomy 32:40
40 For I lift up my hand to heaven, and say, I live for ever.