0^0=1 14 replies

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Yannick

A psychedelic experience.

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#1 13 years ago

I was told that any number raised to the zeroeth power is equal to 1. What about zero raised to the zeroeth power? Is that 1 or 0? So I tried to investigate...

530886-0.png

In series, it is always taken to be 1, so that you can write a series expansion compactly:

530914-0.png

For example, the geometric series:

530914-2.png

is true at x=0 only if we define 0^0=1.

Atleast I think?




M!tch VIP Member

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#2 13 years ago

i wont argue with that, because i cant :confused:


Thinking about it.



Fuzzy Wuzzy

Red is my hero

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#3 13 years ago

Convincing argument.




Yannick

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#4 13 years ago

do you know how long it took me to find a Katex editor?




M!tch VIP Member

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#5 13 years ago

if i knew what a Katex editor was i would ask


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Yannick

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#6 13 years ago

The ediotr that prints out the fancy equation writing...and half an hour.




M!tch VIP Member

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#7 13 years ago

oh right... now i feel even more confused


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War Hawk

۞ www.thisisnotporn.com ۞

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#8 13 years ago

my teacher just told me x^0 =1 (where x= a number greater than 0) but 0^0=undefined.




M!tch VIP Member

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#9 13 years ago

stop this please! it hurts!!!!!!1


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SpiderGoat

Nel mezzo del cammin

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#10 13 years ago

Ay, 0 is an exception.

I don't know how to put maths in my posts, so I'll explain in a different way.

3(4) = 81 3(3) = 27 3(2) = 9 3(1) = 3

Not that everytime we go down, we divide with x (in this case 3).

81:3 = 27:3 = 9:3 = 3 So 3:3 = 1, 3(0) = 1

Use a different number, and you will get the same result

4(3) = 64 4(2) = 16 4(1) = 4 --> :x (4) So 4(0) = 1

But try the same trick with zero.

0(3) = 0 0(2) = 0 0(1) = 0 --> :x (0) So 0:0 = 0

I prefer physics.




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