I consider it kind of important that the notation for expressions like “A²” doesn’t depend on whether A is an integer, real number, complex number, matrix, random variable, etc., (even if the results do) or what the specific domain is, but if you feel like it’s important to embed all of that context in the exponent operator... give it a try :)

(And whether “2” is integer, real, rational, complex, etc)

Yeah, but operator overloading doesn't say any of that. You have no idea what the "^" operator does, depending on the operands

Ehhh, it would seem that way, but the compactness of the syntax functions to get out of the way and help you understand the overall structure. Having longer function names ends up getting in your way more often than not in my experience.