jrahhali

06-04-2005, 06:45 PM

i use the laws of exponents a lot, but today, i found myself asking the question "why?", STUPID JAVA and yahoo chat were being very fickle loading. So it brought me here, to the, really, smart people.

using the number 5 as an example:

5^2 = 5x5 (or is it?)

5^1 = 5x1 (?)

so what is

5^0 = ?? = 1 (?)

so my question is, why is x^n = 1 (where x not equal to zero) ?

jrahhali

06-04-2005, 07:31 PM

Ah nvm. Thank's to my sister in law, she did some google search that i thought would turn up ugly results, but she found the answer: http://www.mathforum.org/dr.math/faq/faq.number.to.0power.html

i can finally move on with my life!

basically it sais this:

soem reasoning:

3^1 = 3,

3^2 = 9

3^3 = 27

3^4 = 81

so, we can condlude that going down the list, you multiply by 3 and going up the list, you diving by 3.

therefore,

3^0 = 3/3 = 1!!!

R.T.P. x^0 = 1

recall, from the laws of exponents, x^a/x^b = x^(a-b)

therfore, x^a/x^a = x^(a-a) = x^0 = 1!!!!!!!

therefore, x^0 = 1!!!!!!!!!!!!

(the !'s were my addition =D)

so this thread can be deleted or closed, or whatever. or left for reference. boy, am i ever excited! BOY!! =p

EDIT: her google serch was "why exponent zero is one" hehe

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