User blog:VoidSansXD/The dollar function

Dollar notation part 1:  Up to $1.01
Rules:

1.)  $0.01n = n

2.)  $0.02n = n^(n-1)^(n-2)^(n-3)^(n-4)......^1  (For example, $0.02(3) = 3^2^1, or 9.

3.)  $0.03n = $0.02n^$0.01n.

4.)  $0.04n = $0.03n^$0.02n^$0.01n

5.)  $0.05n = $0.04n^$0.03n^$0.02n^$0.01n.  Pattern repeats.

6.)  $1.00n = $0.01n^$0.02n^$0.01n^$0.03n^$0.02n^$0.01n^$0.04n^$0.03n^$0.02n^$0.01n.....$0.99n^$0.98n^$0.97n.....$0.02n^$0.01n, let's call the answer to this "c".

7.)  $1.01n = c^(c-1)^(c-2)^(c-3)^(c-4)^(c-5)........^3^2^1, let's call the answer to this "d".