The several powers ( powers of the power ) :

This laws are mine where I invented it from my mind .. so I hope it be correct .
( 1 ) ( n^n )^n^n = n^n^n+1 .. OR : ( a^b )^b^c = a^b^c+1 .. where : ( c+1 ) is the power of ( b ).
( 2 ) ( n^n^n )^n^n = n^n^2n .. OR : ( a^b^c )^b^e = a^b^c+1 .. where : ( c+1 ) is the power of ( b ).
( 3 ) ( n^n^n^n )^n = n^n^d : where : d = ( n^n )+1 .. OR : ( a^b^c^d )^b = a^b^f : where : f = (c^d )+1.
( 4 ) ( n^n^n^n )^n^n = n^n^h : where : h = ( n^n )+n .. OR : ( a^b^c^d )^b^e = a^b^g : where : g = ( c^d )+e .
( 5 ) ( n^n )^n^n^n = n^n^c : where : c = ( n^n )+1 ..
( 6 ) ( n^n^n )^n^n^n = n^n^f : where : f = ( n^n )+n .. OR : ( a^b^c )^b^a^c = a^b^g : g = ( a^c )+c ..
( 7 ) ( n^n^n^n )^n^n^n = n^n^h : where : h = 2( n^n ) ..
( 8 ) ( n^n^n^n )^n^n^n^n = n^n^d : where : d = ( n^n^n ) + ( n^n ) ..
All the last digits are the nature numbers .

Note by Mohamed Aboalamayem
1 week, 6 days ago

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  Easy Math Editor

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Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
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\sqrt{2} \( \sqrt{2} \)
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\boxed{123} \( \boxed{123} \)

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