Math Is Fun Forum

Roraborealis · 2005-05-06 04:27:10

6 to the power 4 is 6x6x6x6x1.
6 to the power 3 is 6x6x6x1.
6 to the power 2 is 6x6x1.
6 to the power 1 is 6x1.
6 to the power 0 is 1.

Therefore, every time we go down one, we lose a number on the end of each row.

So, 0 to the power 0 is 1.
What I don't get is that it's saying here that if you multiply zero by itself you get 1. In simpler terms one is equal to zero.

Mr T · 2005-05-06 04:30:13

Anything to the power 0 is 1. No-one knows why but it just happens.

Roraborealis · 2005-05-07 20:35:49

That's not me point.

stewie · 2005-05-23 05:44:35

it is now...

Zach · 2005-05-23 08:08:15

No, it's not.

stewie · 2005-05-23 08:27:47

killjoy

Mr T · 2005-05-30 23:00:07

i hope ur happy. u made stewie cry

radjaguar · 2005-06-23 05:16:34

It is NOT saying that multiplying zero by itself will equal one. Just look at 6 to the power 0. There is no 6 in your equation, only a 1. The "6x" part has been "lost" as a "number on the end of each row".

You're multiplying zero, zero times, and in essence doing nothing at all. Since the default is one, the answer is one.

Roraborealis wrote:

6 to the power 4 is 6x6x6x6x1.
6 to the power 3 is 6x6x6x1.
6 to the power 2 is 6x6x1.
6 to the power 1 is 6x1.
6 to the power 0 is 1.
Therefore, every time we go down one, we lose a number on the end of each row.
So, 0 to the power 0 is 1.
What I don't get is that it's saying here that if you multiply zero by itself you get 1. In simpler terms one is equal to zero.

mathsyperson · 2005-06-23 08:17:00

Isn't the rule that x^0=1 when x =/= 0? (Sorry for the rubbish non-equal sign)

NIH · 2005-06-23 11:06:44

See What is 0 to the 0 power? for a good discussion of this topic.

ckvijayakumar · 2005-06-23 23:23:57

IDIOTIC,
x=0 raise to 0.taking log,
log x=log0 raise to 0 or
log x=0 log0
log x=0[since 0* any number = 0)
but, log 1=0
so, x=1

NIH · 2005-06-27 12:19:38

ckvijayakumar wrote:

... log x=0 log0...

The flaw in your proof is that the domain of the log function does not include 0. In other words, log0 is undefined.

Roraborealis · 2005-06-27 18:40:10

Wheeeeeheeeeeee! I started off a good topic!

MathsIsFun · 2005-06-27 19:32:01

Absolutely ... it is quite intriguing.

100000^0 = 1
10^0 = 1
1^0 = 1
0.00001^0 = 1
So, 0^0 = 1

BUT

0^10 = 0
0^1 = 0
0^0.00000001 = 0
So, 0^0 = 0

As it says in the mathforum article, it depends on which direction you come from!

Roraborealis · 2005-06-28 03:10:21

Aha.......I see. So there's more or less two sides..........

Mr T · 2005-06-28 06:42:34

potentially

mathsyperson · 2005-06-30 05:16:57

It's far easier to decide the value of 0^0^0.

MathsIsFun · 2005-06-30 09:51:52

Is it?

If you take the view that 0^0=0, then 0^0^0=0^0=0

If you take the view that 0^0=1, then 0^0^0=0^1=0

Haha, that is true!

Jai Ganesh · 2005-06-30 18:18:41

0^0 is neither 0 nor 1;
it is simply not defined....
certain functions in mathematics are indeterminate,
like 0/0;
when the numerator of a number is zero, irrespective of the denominator(provided the denominator is not zero), the value is 0;
when the denominator of a number is 0, irrespecive of the numerator (provided numerator is not zero), the value is infinity

1q2w3e4 · 2009-01-25 01:34:54

0^0 = (0^1)/(0^1) = 0/0 = (0*1)/0 = 0*(1/0) = 0*infinity = 1 , because 1/0 = infinity!

Last edited by Jai Ganesh (2009-01-25 02:54:01)

Jai Ganesh · 2009-01-25 03:02:53

Mr T wrote:

Anything to the power 0 is 1. No-one knows why but it just happens.

This is to fulfill the laws of exponents which state

We know
.

However,

or or or
are not defined.

LampShade · 2009-02-24 17:00:59

Monox D. I-Fly · 2019-12-25 20:33:10

MathsIsFun wrote:

Absolutely ... it is quite intriguing.
100000^0 = 1
10^0 = 1
1^0 = 1
0.00001^0 = 1
So, 0^0 = 1
BUT
0^10 = 0
0^1 = 0
0^0.00000001 = 0
So, 0^0 = 0
As it says in the mathforum article, it depends on which direction you come from!

My humorous professor during college would say that statistically, the result is ½ since we add both results then take the average. That's what he said when he was discussing whether 0 divided by 0 equals 0 or 1.

Jai Ganesh · 2019-12-25 20:46:56

Monox D. I-Fly wrote:

MathsIsFun wrote:
Absolutely ... it is quite intriguing.
100000^0 = 1
10^0 = 1
1^0 = 1
0.00001^0 = 1
So, 0^0 = 1
BUT
0^10 = 0
0^1 = 0
0^0.00000001 = 0
So, 0^0 = 0
As it says in the mathforum article, it depends on which direction you come from!
My humorous professor during college would say that statistically, the result is ½ since we add both results then take the average. That's what he said when he was discussing whether 0 divided by 0 equals 0 or 1.

0 or 1 may seem logical, not mathematical, strictly! It is Neither!

Math Is Fun Forum

#1 2005-05-06 04:27:10

1=0

#2 2005-05-06 04:30:13

Re: 1=0

#3 2005-05-07 20:35:49

Re: 1=0

#4 2005-05-23 05:44:35

Re: 1=0

#5 2005-05-23 08:08:15

Re: 1=0

#6 2005-05-23 08:27:47

Re: 1=0

#7 2005-05-30 23:00:07

Re: 1=0

#8 2005-06-23 05:16:34

Re: 1=0

#9 2005-06-23 08:17:00

Re: 1=0

#10 2005-06-23 11:06:44

Re: 1=0

#11 2005-06-23 23:23:57

Re: 1=0

#12 2005-06-27 12:19:38

Re: 1=0

#13 2005-06-27 18:40:10

Re: 1=0

#14 2005-06-27 19:32:01

Re: 1=0

#15 2005-06-28 03:10:21

Re: 1=0

#16 2005-06-28 06:42:34

Re: 1=0

#17 2005-06-30 05:16:57

Re: 1=0

#18 2005-06-30 09:51:52

Re: 1=0

#19 2005-06-30 18:18:41

Re: 1=0

#20 2009-01-25 01:34:54

Re: 1=0

#21 2009-01-25 03:02:53

Re: 1=0

#22 2009-02-24 17:00:59

Re: 1=0

#23 2019-12-25 20:33:10

Re: 1=0

#24 2019-12-25 20:46:56

Re: 1=0

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