Given that n is a positive integer, determine the remainder (in terms of n) whenever 3^(2^n) – 1 is divided by 2^(n+3)

Note: (a)^b implies 'a' raised to the power of 'b', ((a)^b)^c implies 'a' raised to the power 'bc', but a^(b^c) implies 'a' raised to the power 'b' raised to the power 'c'