Product of polynomials

1. Feb 25, 2009

fk378

1. The problem statement, all variables and given/known data
Show that

(x^p^n) - x = product (product c(x))

where the product is taken over irreducible polynomials c(x) in F[x] (order of F[x]=p).

(the inside product is taken over polynomials of degree d
and the outside product is taken for all d such that d divides n)

3. The attempt at a solution
First off I don't really understand the notation. Is this just one sum over 2 notations? Or is it 2 notations and 2 sums?

After that, I don't even know how to approach the question.