T Nation

Math Question


#1

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.


#2

1


#3

Yeah, 1.


#4

it’s 1, anything, no matter the number, raised to zero, is one


#5

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


#6

But it is debatable.


#7

[quote]Schadenfreude8 wrote:
it’s 1, anything, no matter the number, raised to zero, is one[/quote]

I have to disagree, I’ve always thought 0 was not a number.


#8

Asymptote, interesting.

I still think there’s some rule that precludes it to be anything but one.


#9

I’ll say 0, because we just can’t have exponents wielding that kind of power


#10

This is why this has confused me for some time.


#11

[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]

Your pre-calc teacher was right.


#12

I’ve checked it with all that reside in the dark. We agree that 1 is the answer


#13

OP, your avatar is perfect for this post…


#14

http://mathforum.org/dr.math/faq/faq.0.to.0.power.html

Dr. Math is generally a decent reference to go to when these questions pop in your head.


#15

[quote]LittleAsianDoll wrote:
Schadenfreude8 wrote:
it’s 1, anything, no matter the number, raised to zero, is one

I have to disagree, I’ve always thought 0 was not a number.[/quote]

Huh? You sure you’re not thinking about it being positive/negative? Cause zero is definitely a number…and I thought all Asians were good at math! :slight_smile:


#16

I don’t get it…

x * 0 = 0 right???

0 * 0 = 0??

Never took calculus, but am ok with math can someone please explain it??


#17

[quote]elano wrote:
I don’t get it…

x * 0 = 0 right???

0 * 0 = 0??

Never took calculus, but am ok with math can someone please explain it?? [/quote]

0 to the power of 0

NOT

0 multiplied by 0


#18

[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?


#19

There is no answer, just the same with diving with zero, there is no actual solution and it’s not allowed.


#20

[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.