> The use of "e" for exponent in scientific notation is a very computer-oriented take on the problem. Such other places as you may have seen it used are leaks from the computer representation. Nobody else sees numbers that way;
It’s a pain in the arse to write, though, which is why quite a lot of scientists and engineers use e even though they don’t know anything about programming and are very, very far from being CS people.
I don’t know anyone who would enter 310^8 naturally in an input field (besides, using for multiplication itself comes from ancient technological limits, but nobody uses the proper multiplication sign either).
So yes, you need to support e for scientific notations in any input field that can be used for large or small numbers.
> scientific notation is generally written as 3.278·10³⁶ (only with better superscripts), which is how it is taught in schools for the most part.
That’s how we write it in LaTeX and our reports, articles, and such. And presentations if you’re lucky. But again, nobody writes that if presentation does not matter enough to go through the hassle. Certainly not in plain text where you’d have to use Unicode characters, at which Windows is completely incompetent.