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**1=0**

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**Roraborealis****Member**- Registered: 2005-03-17
- Posts: 1,594

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.

School is practice for the future. Practice makes perfect. But - nobody's perfect, so why practice?

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**Mr T****Member**- Registered: 2005-03-30
- Posts: 1,012

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

I come back stronger than a powered-up Pac-Man

I bought a large popcorn @ the cinema the other day, it was pretty big...some might even say it was "large

Fatboy Slim is a Legend

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**Roraborealis****Member**- Registered: 2005-03-17
- Posts: 1,594

That's not me point.

School is practice for the future. Practice makes perfect. But - nobody's perfect, so why practice?

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**stewie****Member**- Registered: 2005-03-28
- Posts: 820

it is now...

HAPPY HAPPY, JOY JOY

Fatboy Slim is the band of the 90s, thats if you want to call it a band because its really a one man name

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**Zach****Member**- Registered: 2005-03-23
- Posts: 2,075

No, it's not.

Boy let me tell you what:

I bet you didn't know it, but I'm a fiddle player too.

And if you'd care to take a dare, I'll make a bet with you.

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**stewie****Member**- Registered: 2005-03-28
- Posts: 820

killjoy

HAPPY HAPPY, JOY JOY

Fatboy Slim is the band of the 90s, thats if you want to call it a band because its really a one man name

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**Mr T****Member**- Registered: 2005-03-30
- Posts: 1,012

i hope ur happy. u made stewie cry

I come back stronger than a powered-up Pac-Man

I bought a large popcorn @ the cinema the other day, it was pretty big...some might even say it was "large

Fatboy Slim is a Legend

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**radjaguar****Member**- Registered: 2005-06-23
- Posts: 1

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.

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**mathsyperson****Moderator**- Registered: 2005-06-22
- Posts: 4,900

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

Why did the vector cross the road?

It wanted to be normal.

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**NIH****Member**- Registered: 2005-06-14
- Posts: 33

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

2 + 2 = 5, for large values of 2.

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**ckvijayakumar****Member**- Registered: 2005-06-23
- Posts: 3

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

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**NIH****Member**- Registered: 2005-06-14
- Posts: 33

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.

2 + 2 = 5, for large values of 2.

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**Roraborealis****Member**- Registered: 2005-03-17
- Posts: 1,594

Wheeeeeheeeeeee! I started off a good topic!

School is practice for the future. Practice makes perfect. But - nobody's perfect, so why practice?

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,710

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!

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

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**Roraborealis****Member**- Registered: 2005-03-17
- Posts: 1,594

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

School is practice for the future. Practice makes perfect. But - nobody's perfect, so why practice?

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**Mr T****Member**- Registered: 2005-03-30
- Posts: 1,012

potentially

I come back stronger than a powered-up Pac-Man

I bought a large popcorn @ the cinema the other day, it was pretty big...some might even say it was "large

Fatboy Slim is a Legend

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**mathsyperson****Moderator**- Registered: 2005-06-22
- Posts: 4,900

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

Why did the vector cross the road?

It wanted to be normal.

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,710

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!

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 35,582

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

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**1q2w3e4****Member**- Registered: 2009-01-11
- Posts: 10

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

*Last edited by ganesh (2009-01-25 02:54:01)*

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 35,582

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,

are not defined.

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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**LampShade****Member**- Registered: 2009-02-22
- Posts: 23

-- Boozer

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**Monox D. I-Fly****Member**- From: Indonesia
- Registered: 2015-12-02
- Posts: 2,000

MathsIsFun wrote:

Absolutely ... it is quite intriguing.

100000^0 = 1

10^0 = 1

1^0 = 1

0.00001^0 = 1

So,0^0 = 1BUT

0^10 = 0

0^1 = 0

0^0.00000001 = 0

So,0^0 = 0As 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.

Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.

May his adventurous soul rest in peace at heaven.

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**ganesh****Administrator**- Registered: 2005-06-28
- Posts: 35,582

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 = 1BUT

0^10 = 0

0^1 = 0

0^0.00000001 = 0

So,0^0 = 0As 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!

It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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