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Zero power (Discussion)

ankita saidWed, 25 Jun 2008 10:12:00 -0000 ( Link )

Generally, Any number to the zero power is 1, and zero to any power is 0.

That is, x ^ 0 = 1 and 0 ^ x = 0 (where x is any number). But if that is the case,

what is zero to the zero power?

Well, it is undefined (since x^y as a function of 2 variables is not continuous at the origin).

But if it could be defined, what “should” it be? 0 or 1?

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  1. Ashwin saidFri, 27 Jun 2008 13:03:34 -0000 ( Link )

    A very interesting thought! If we were to ‘define’ it, i will say it should be 0. I will need to do some research (personal) on it but thinking off the cuf i feel that the base value will always have a higher priority than the power (similar to the BODMAS rules we learnt as kids).

    Never know, we might end up discovering something here :)

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  2. ankita saidWed, 02 Jul 2008 10:20:41 -0000 ( Link )

    I think, the answer should be 1.

    Could you suggest why it should be “1” before I give arguments to suport my answer.

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  3. korouganba saidFri, 04 Jul 2008 10:24:11 -0000 ( Link )

    many might explain the problem in F(x) ,G(y) where x->infinity in opssite direction to y direction bla bla bla…...... with lots of mathematical jargons.

    pl observe the series
    .25               .5              1              2              4
    X-2            X-1            X0          X1          X2      wher x=2
    1/0              1/0             00          01           02      when x=0
    • * * 0 0

    here * is undefined : Here undefined means we cannot exactly locate the value. the same function may be think of when x approches a Very small number but not zero. Then this * SHOULD BE A VALUE GREATER THAN ZERO. so anwser is SHOULD BE A VALUE GREATER THAN ZERO. we cannot defined a Value for it. In pen and papers we requires a value to defined. but the value cannot be determinate.THATS WHY WE SAY IT IS UNDEFINED.

    So Ankita

    0 TO THE POWER 0 CAN BE 1 FOR SOME PARTICULAR CASES BUT CANNOT BE ZERO FOR ALL CASES
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  4. ankita saidFri, 04 Jul 2008 10:38:11 -0000 ( Link )

    Well, you are right it is undefined. But the question is, if it could be defined, what “should” it be? 0 or 1?

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  5. korouganba saidFri, 04 Jul 2008 10:53:05 -0000 ( Link )

    if it is defined

    0 TO THE POWER 0 CAN BE 1 FOR SOME PARTICULAR CASES BUT CANNOT BE ZERO FOR ALL CASES
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