Thursday, 21 May 2015

Why n⁰ = 1

This is why I think anything⁰ = 1
Just another way that seems to work and make sense.

x=4
x⁴ = 256
x³ = 64
x³ is also = x⁴/x
x² = 16
x² is also = x³/x
x¹ = 4
x¹ is also = x²/x

So according to what worked above ^^, I will assume it will work for 0 too:
x⁰ = x¹/x = 4/4 = 1

Try this out with any number, and it should work.
If the number is below 0 it will give -1.

Information links:
I found this out myself and posted it to http://david.callanan.ie
Afterwards I got proof from here: http://mathforum.org/library/drmath/view/58233.html

1 comment:

  1. Btw, x^n/x^m = x^(n-m). If m=0 then x^(n-0) = x^(n). So x^n/x^0 = x^n. Rearrange we get x^0 = x^n/x^n = 1 !!!

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