User blog:DerivedSugar177/Sugar's Slash Arrow Notation

Sugar's Slash Arrow Notation
We define that a/^\b = a^^^^...( b ^'s )...^^^^a

a//^\\b = a/^\a/^\a/^\a.... ( b a's )

a/^{100}^\^{100}b = a/////////....//^\\....\\\\\\\\\b ( 100 /'s )

Examples : 

2/^\3 = 2^^^2 = 4

5//^\\2 = 5/^\5 = 5^^^^^5 = 5^^^^5^^^^5^^^^5^^^^5

100///^\\\100 = 100//^\\100//^\\100....///^\\100 ( with 100 100's )

With this, we can now define that :

a#^#b ( # : any array of /'s ) = a#-1^#-1a#-1^#-1a.... ( b a's )