Why is 0^0 equals to 1?

Answer 1

This may help you for better explanation-

https://brilliant.org/wiki/what-is-00/

Answer 2

Seb TheS That's not embarassing at all. No.

Answer 3

n^0 will always be 1. It's a mathematical rule.

Answer 4

In javascript (I'm guessing), the laws of math aren't as strict, so it lets things like this to happen, but other things too: Infinity is a number, you can divide by 0, -0 exists, and so on

Answer 5

Seb TheS Well my math teacher taught me every power of 0 is 0 :)

Because 0 ^ n = 0 for all numbers, it can be reasoned that it would also be true for 0 ;)

(Also n ^ 0 = 1 for all numbers (except 0), not just positive integers

Answer 6

Airree by quick thinking I think thats wrong. 0 ^ n is not always 0. What about 0 ^ (-1), which would be 1/0?

Answer 7

It's undefined , but approaches 1 if we draw y=x^x , just next to 0 on + side.

Answer 8

Technically any number to the power of 0 is equal to 1.
0^0 is expected to give an error but instead it follows the previous rule resulting in a 1.

Answer 9

Well my math teacher taught me negative exponenting with similar table::
2^3 = 8 = 4 * 2
2^2 = 4 = 2 * 2
2^1 = 2 = 1 * 2
2^0 = 1 = 1/2 * 2
2^-1 = 1/2 = 1/4 * 2

Because n^0 = 1 for all positive integer, it can be reasoned that it would also be true for 0.

Anyways this does not really prove 0^0 to 1. But we can believe it is true until better proof is found.