I know that this a completely random question, but it has been bothering me. I asked my pre-calc teacher about this two years ago, but no definite answer. So, for all the math nerds out there, here is my quarry:

If x^0 = 1, and 0^x = 0, what would 0^0 equal? Although it is quite random, it has been bugging me. I think about math problems a lot when I am bored. I have had people tell me that it equals one, but I am skeptical.

i don’t think its one, it undefined. heres why
0^0 = 0 * log(0)
since log of 0 is an asymptote, you can’t possibly know what 0^0 is. i might be wrong but w/e

EDIT
I dunno why I took the log, thats not equal to each other… i should quit college right now

[quote]ukrainian wrote:
I know that this a completely random question, but it has been bothering me. I asked my pre-calc teacher about this two years ago, but ]b] no definite answer. [/b] So, for all the math nerds out there, here is my quarry:

If x^0 = 1, and 0^x = 0, what would 0^0 equal? Although it is quite random, it has been bugging me. I think about math problems a lot when I am bored. I have had people tell me that it equals one, but I am skeptical. [/quote]

[quote]ukrainian wrote:
I know that this a completely random question, but it has been bothering me. I asked my pre-calc teacher about this two years ago, but no definite answer. So, for all the math nerds out there, here is my quarry:

If x^0 = 1, and 0^x = 0, what would 0^0 equal? Although it is quite random, it has been bugging me. I think about math problems a lot when I am bored. I have had people tell me that it equals one, but I am skeptical. [/quote]

0^x = 0 would imply x is equal to infinity wouldn’t it?

[quote]Payaso wrote:
ukrainian wrote:
I know that this a completely random question, but it has been bothering me. I asked my pre-calc teacher about this two years ago, but no definite answer. So, for all the math nerds out there, here is my quarry:

If x^0 = 1, and 0^x = 0, what would 0^0 equal? Although it is quite random, it has been bugging me. I think about math problems a lot when I am bored. I have had people tell me that it equals one, but I am skeptical.

0^x = 0 would imply x is equal to infinity wouldn’t it?
[/quote]

No, it would imply you multiply 0 x times, that’s zero.