n,m,j,z,l ∈ ℕ +
n! = nxn-1x....2x1
n¡= (n!xn-1!xn-2!....x1)^(n!xn-1!xn-2!...x1)^.......^(n!xn-1!xn-2!x.....x1) it has n!xn-1!x....x1 amount of power tower
Example1: 13¡ = (13!x12!x11!x....2!x1!)^(13!x12!x11!x....2!x1!)^....^(13!x12!x11!x....2!x1!) it has 13!x12!x11!x....2!x1! amount of power tower.
Example2: 1¡ = (1!)^(1!) it has 1! amount of power tower.
n¡¡¡...(z amount of ¡:s)...¡¡^m means that if you want to write without (^m) [n¡¡¡....¡¡¡] than you have to write (z!xz-1!...1!)^(z!xz-1!...1!)^.......^(z!xz-1!...1) (m amount of power tower) amount of ¡:s next to n
¡n¡¡¡...(z amount of ¡:s)...¡^m means that if you want to write without (^m) [¡n¡¡¡...¡¡¡] then you have to write (z!xz-1!...1!)^(z!xz-1!...1!)^.......^(z!xz-1!...1) (m amount of power tower) amount of ¡:s right next to ¡n. And if you want to write without the left ¡ [n¡¡¡...¡¡¡] then you have to write (K!xK-1!...1!)^(K!xK-1!....1!)^(K!xK-1!...)^...^(K!xK-1!....1!) (K amount of power tower) amount of ¡¡¡...¡¡¡:s right next to n.
¡¡¡...(l amount of ¡:s)...¡¡¡n¡¡¡...(z amount of ¡:s)...¡^m means that if you want to write without (^m) [¡¡¡...(l amount of ¡:s)...¡¡¡n¡¡¡...¡¡¡] then you have to write (z!xz-1!...1!)^(z!xz-1!...1!)^.......^(z!xz-1!...1) (m amount of power tower) amount of ¡:s right next to ¡¡¡...(l amount of ¡:s)...¡¡¡n. And if you want to write without the left ¡:s [n¡¡¡...¡¡¡] then you have to write (kkk...(l amount of)...kK !x kkk...(l amount of)...kK -1!....1!)^(kkk...(l amount of)...kK !x kkk...(l amount of)...kK -1!....1!)^...^(kkk...(l amount of)...kK !x kkk...(l amount of)...kK -1!....1!) [it has (kkk...(l amount of)...kK !x kkk...(l amount of)...kK -1!....1!) amount of power tower.] amount of ¡¡¡...¡¡¡:s right next to n.
j^¡¡¡...(l amount of ¡:s)...¡¡¡n¡¡¡...(z amount of ¡:s)...¡¡¡^m means that if you want to write without (^m) [j^¡¡¡...(l amount of ¡:s)...¡¡¡n¡¡¡...¡¡¡] then you have to write (z!xz-1!...1!)^(z!xz-1!...1!)^.......^(z!xz-1!...1) (m amount of power tower) amount of ¡:s next to j^¡¡¡...(l amount of ¡:s)...¡¡¡n. And if you want to write without (j^) then you have to write (kkk...(j amount of)...kK !x kkk...(j amount of)...kK -1!....1!)^(kkk...(j amount of)...kK !x kkk...(j amount of)...kK -1!....1!)^...^(kkk...(j amount of)...kK !x kkk...(j amount of)...kK -1!....1!) [it has (kkk...(j amount of)...kK !x kkk...(j amount of)...kK -1!....1!) amount of power tower.] amount of ¡¡¡...(l amount of ¡:s)...¡¡¡:s left next to n¡¡¡...¡¡¡