Is "N" the same as "n"?
If you mean that n* is defined as 32- n, then "*" just means "subtract n from 32". Doing it twice, (n*)*= (32-n)*= 32- (32-n)= n.
If that is not what you mean then I think you need to clarify.
Hmm, but that doesn't have any thing to do with exponents. Do you mean that n* is defined as 32-n? That is, of course, the same as [itex]/frac{1}{32^n}[/itex]. Doing that twice,
[tex](n*)*= 32^{-\frac{1}{32^n}}[/tex]
which is 1 over the 32n root of 32.
I have a feeling that is also not what you meant. Please clarify!