If 0^0 equals 1 and only 1, then 0^(0-1) will equal 1/0

And (1/0*0^1) will equal 0/0 which does not equal just 1, but any complex number.

0^0 is an indeterminant form.   1/0 is NaN  ( Not a Number ). Division by zero is prohibited.

Evaluating 0^0 = 1 was good enough for Euler, so it's good enough for me.

See Schlomilch's Zeitschrift für Mathematik und Physik for a fuller discussion.

Eddie Woo did a clear video on 0^0 on Youtube.

1/0 = infinity which I hate. Maths is pure but the infinity convenience tramples o many things.

e.g. (1+1/n)^n converges to e but when infinity rears its ugly head, it becomes 1

Very interesting but I think that it belongs in 'Off Topic' because it is not chess related.

1/0 is not infinity. It is undefined, and I can prove it. let's set x/0=infinity. If you try to universally apply this, you find that x=every number, which means every number is the perfect equal of every other number. so 1=2. No. If we try with a limit, we find that yes, as the denominator gets smaller and smaller, the product is bigger. and it does hit infinity at 0. but the only works at the positive numbers. if we come from the negatives, the opposite happens. it ends to -infinity. we have 2 completely different answers. so we cannot use a limit. there is more than one limit with completely different answers. therefore, this is undefined.

also, 0^0 does not equal one. it is also undefined. really the same principles, except the limit gets different in the complex numbers. 

In most country most highschool teacher teach that 0^0 is undefined, but everyone that ever needs to evaluate a Taylor-series at 0 (everyone that touches math outside of highschool)  uses 0^0 = 1.

what? 0^0 is 1? how come something comes out of nothing?

maybe 0^0=1 can work in simple scenarios, but once you actually try to use it to describe more complex things using the set of complex numbers, you start breaking physics, and you get completely ridiculous answers to the most straightforward of things. 0^0= undefined. period. 

it's very simple for me, 0 means you have no money it doesn't matter how many times or whatever you do with your no-money.. you will still have no money

not how this works. sorry.