Write an infinite non-trivial product whose factors multiply to 2?

Answer 1

(2^(1/2))(2^(1/4))(2^(1/8))(2^(1/16)...
=2^(1/2 + 1/4 + 1/8 + 1/16 +...)
=2^1

Answer 2

There has to be an unstated context to this problem, like modular arithmetic, or some level of abstract algebra, or else "infinite product" makes no sense.