'Sake' in the Bible

'And yet for this I have caused thee to stand, so as to show thee My power, and for the sake of declaring My Name in all the earth;

And Moses told his father in law all that the LORD had done unto Pharaoh and to the Egyptians for Israel's sake, and all the travail that had come upon them by the way, and how the LORD delivered them.

And if a man smite the eye of his servant, or the eye of his maid, that it perish; he shall let him go free for his eye's sake.

And if he smite out his manservant's tooth, or his maidservant's tooth; he shall let him go free for his tooth's sake.