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That explains it
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this post was submitted on 04 Nov 2023
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Math Humor
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Flaw is a bit harsh. Periodic, infinite decimals happen because the denominator is not a multiple of the prime factors of the base and thus will exist in any base.
Not in base infinity.
Infinity is not a number and even if you would use it as a base, you couldn't represent anything other than infinity in a meaningful way.
Infinity^0 is indeterminate and infinity^x with x>0 is exactly infinity.