50g - Exponent of zero

[BarryT]

Please note... not trying to flame anyone, nor cause a raucous... just curious

It would be interesting to hear\understand what folks think about... the EXACT answer. Meaning, lets completely forget about taking the "limit of..." anything, as well, completely forget about what happens as things are "...approaching said value from the left or right...". Lets focus on THE answer, at THE EXACT value in question.

While it's mathematically relevant as well as interesting to see what values are getting approached, it's still not THE point in question. If absolutely every number in the real or complex planes, for example, will satisfy an equation... then that's pretty much an undefineable answer, or, an infinite result answer.

For this particular question, who cares what an equation or a graph "approaches" as it comes upon the 0 value... if you enter "0" in for the value, and you're not asking for a limit approach or approximation, but instead say "Hey there little calculator... tell me what the EXACT value is for '42/0', '42^0', etc...", I completely expect the calculator to tell me what the answer is at that exact point. I don't want it to tell me what someone feels like defining it as, nor do I want it to tell me what it's "approaching", if I wanted to know what it was approaching, I'd have specifically asked that. But that's not what was asked... so, I want to know what THE answer is... exactly at ZERO. If that's not defined, or, infinite, that's a perfectly acceptable answer... but don't just give me some arbitrarily decided bogus value that's not THE actual value.
Now then, on more advanced calculators it might be nice if they would program in something that says "undefined, but the equation is 'approaching' X".

Again... definitely not trying to start wars... I'm just one of those types of people who expects if someone or something is asked a question, the actual answer, ( or handful of answers in the case of multiple, but finite, roots or something ), is given, and not something that's "kinda sorta" the answer.
Feel free to beat me over the head if you like, just do so gently please.