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Some quick explanations
Tetration is used to define multiple powers. Basically, I can use Tetration to shorten 5↑5↑5↑5 to 5↑↑4. To put it simply: Tetration is to powers what powers are to multiplication.
If I say 10!, That would mean 10 Factorial, which is equal to 10987654321 (which would equal 3628800). That would mean a Faxul would be 200199198197* … 32*1, which would ultimately give you a BIG number!