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

[tarheel91]

zexen_lowe said:

Galaki said:
0^0 = 1
Because anything to the power 0 equals 1.
In this case, you don't use 0 for division but just give it a representative symbol.

Anything divides by itself equals 1.

At least, that's vaguely what I remember from school.

And 0 to any power is 0.

The correct answer for 0^0 is indeterminate. There are some mathematical branches who use 0^0=1 to avoid complications and needing to create specific rules for it, but in general is treated as 0^0=Indeterminate

 

 

No, it's only indeterminate as you're approaching it.  At 0^0, it's precisely 1.  People confuse it because it's considered indeterminate as a limit and you can use L'Hospital's rule with it.  It's just like 1^Infinity.  1^Infinity is 1, but the limit as something approaches it is indeterminate.