If you are like me, you are confused by the terms pertaining to magnification. Here is an attempt at some clarification. I wish to thank Dazor for their helpful information.
Power refers to how much larger an object is made to look through a magnifying lens.
Light rays are bent by the curved lens surface resulting in an image that looks larger than the actual object. Power is the ability of the lens to increase the visual size of an object. This power classification system is what most magnifiers will list, although some manufacturers follow a different convention. We will utilize the first, more common, standard. Diopter is not the same as power.