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Math Help - Quick Exponent Question

  1. #1
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    Quick Exponent Question

    I know when you move an exponent from the denominator to numerator it becomes negative, and vice versa, but what about a whole numbers?

    For Example:


    3/x^2 can also be written as 3x^-2

    but what about

    x^2/3?

    I realize that 3 is really 3^0, but changing the exponent from 0 to -0 doesn't do any me any good, because any exponent raised to 0 is equal to one. Would the 3 by itself in the denominator if put in the numerator become -3, or is there another principle you must follow? Is changing signs just for exponents or for whole numbers too? Just some clarification would be nice. Thanks for all your help.
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by qbkr21 View Post
    I know when you move an exponent from the denominator to numerator it becomes negative, and vice versa, but what about a whole numbers?

    For Example:


    3/x^2 can also be written as 3x^-2

    but what about

    x^2/3?

    I realize that 3 is really 3^0, but changing the exponent from 0 to -0 doesn't do any me any good, because any exponent raised to 0 is equal to one. Would the 3 by itself in the denominator if put in the numerator become -3, or is there another principle you must follow? Is changing signs just for exponents or for whole numbers too? Just some clarification would be nice. Thanks for all your help.
    first of all, 3 is not 3^0. 3 is 3^1. anything raised to 0 is 1. so 3^0 = 1, 5^0 = 1, 57.98236478944^0 = 1.

    now to answer your question, yes, it does work for whole numbers. x^2/3 = 3^-1*x^2

    remember 3^-1 = (1/3) so 3^-1*x^2 = (1/3)x^2 = x^2/3
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  3. #3
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by qbkr21 View Post
    Would the 3 by itself in the denominator if put in the numerator become -3, or is there another principle you must follow? Is changing signs just for exponents or for whole numbers too? Just some clarification would be nice. Thanks for all your help.
    no, putting 3 in the numerator would not make it -3. raising a number to a negative power does not change the sign of the number itself. negative powers mean something totally different, they just mean you take the inverse.
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    Re:

    Thanks so much!!! YOU ARE THE MAN!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by qbkr21 View Post
    Thanks so much!!! YOU ARE THE MAN!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    you're very much welcome
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