Some Exponent Help

This is a discussion on Some Exponent Help within the A Brief History of Cprogramming.com forums, part of the Community Boards category; i use the laws of exponents a lot, but today, i found myself asking the question "why?", STUPID JAVA and ...

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    Set Apart -- jrahhali's Avatar
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    Some Exponent Help

    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) ?
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    Set Apart -- jrahhali's Avatar
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    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...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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