the right hand, or the right side: in Hebrew the side of strength, favor, and honor
At its base this word names the right hand and, more broadly, the right side of a body or an object. In a culture where most people were right-handed, the right hand was the working, fighting, oath-taking hand, so the word quickly carries the weight of strength and skill alongside its plain bodily sense.
From there it becomes the standard way to speak of the place of honor. To stand or be seated at someone's right hand is to hold the position of nearest trust and highest rank, whether at a king's side or, supremely, at God's. The same image turns into a picture of saving power: God's "right hand" is shorthand for the decisive strength by which he rescues and judges.
These are shades of one idea rather than separate words. The honored position and the mighty deliverance both grow directly out of the right hand being the side of capability and worth, so they are kept together as senses of a single meaning.