I think we should agree that standard notation is too ambigious and switch to reverse polish notation:
3 2 ^ - -9
3 - 2 ^ 9
3 2 ^ - -9
3 - 2 ^ 9
Sigh. I understand why we commonly enter math on basically a teletype-with-ASCII, and I don’t have an urge to go all APL, but for a while we were so close to a future where we could’ve had separate negation or multiplication or exponentiation symbols that might’ve removed so much room for error. I mean, that little calculator and its predecessors were popular and widely used by the same people who brought us things like Unicode and the space cadet keyboard. If only one of them had said, gee, it sure would be handy to have a +- key on the keyboard the person in the next cubicle is designing as I have on the calculator on my desk!
But nope, Everything Is ASCII won and here we are. At least programming languages are starting to support Unicode identifier names, which has its own issues but is excellent for non-Latin alphabet users who want to write code in their own tongue. It seems like a reasonably short hop from there to giving operators their own unambiguous names. I can imagine a near-distant future where a linter says “you typed -3. Did you mean ⁻3?”, to the chagrin of programmers still entering their code on teletypes.
> ISO 80000-2 standard for mathematical notation recommends only the solidus / or "fraction bar" for division, or the "colon" : for ratios; it says that the ÷ sign "should not be used" for division
I think these things are way less standardised even on paper than you believe.
I don’t contend we should change things today. I do think if I were personally writing a new programming language from scratch today, I’d likely use different Unicode symbols for different operators, and the accompanying language server would nudge people to use them.