Question

0^0 = ?

Answer 1

undefined. 0/0=?

Answer 2

yep, it is undefined.

Answer 3

```
Prove that 0 to the 0 power is undefined.
```
Proof by contradiction.
By definition, \(0^n = 0\).
By definition, \(x^0 = 0\).

But the two definitions contradict at \(x=0\) and \(n = 0\).

Answer 4

Another one:

Suppose that \(0^0 = x\). Then \(\log _ 0x = 0\). But there are infinite such values, so \(0^0\) does not exist.

Answer 5

@ParthKohli
x^0 =1

Answer 6

Whoopsie.

Answer 7

I meant to type that, sorry :-(

Answer 8

it's undefined

Answer 9

x^0 = x^(n-n) = x^n /x^n
so it'll be undefined whenever denominator is 0.