Boogol

Boogol is equal to 10{100}10 = $$10\underbrace{\text{^^^^^ ... ^^^^^}}_{100}10$$,

Im gonna define what this actually means

A^^B = A^A^A^A...A^A^A^A (B a's)

A^^^B = A^^A^^A...A^^A^^A (B a's)

A^^^^B = A^^^A...A^^^A (B a's)

A{B}C = A^^^^^...^^^^^C (B arrows)

A^B = A×A×A×A×A...A×A×A×A×A (B a's)

A×A = A+A+A+A+A+A...A+A+A+A+A+A (B a's)