0^0, what is it? Another maths topic!

[zexen_lowe]

Onyxmeth said:

dtewi said:
Can you divide by zero?

No.

The answer is undefinded.

Let's use the basic rule for Zero Exponentation.

3^0 is equal to saying 3^2/3^2. Exopential division allows subtractions of exopents with equal bases. 3^2/3^2 = 3^2-2. 3^0. 3^2=9. 9/9=1, which makes 3^0 equal 1.

With zero, you are not allowed to use this rule. It would result in division by zero.

I don't remember learning this when I was 13.

 

I learned this in second year...that means...when I was 14. It's something math teachers teach to stop kids from asking why x^0=1. In fact, while the demonstration is correct, x^0=1 ∀ x≠0 thanks to an axiom, so you don't need to prove it