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Why anything to the power 0 is eqaul to 1

May 22nd, 2009 admin Leave a comment Go to comments

It is a common identity that x0 = 1 for all x.
Here is one way in which to see why this is so.

We know

x/x = 1

but x= x1 and 1/x = x-1

x/x = x1x-1

We also know that xaxb = xa+b which gives

x/x = x1-1=x0

We initally stated that x/x = 1 and have shown x/x = x0 so

x0 =x/x = 1

so

x0 = 1

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  1. AnnaHopn
    May 23rd, 2009 at 07:55 | #1
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    I have already seen it somethere…

  2. cemDeada
    May 24th, 2009 at 15:43 | #2
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    Hi, nice posts there :-) hold responsible’s concerning the compelling advice

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