Prove the following statements by using the definitions of the notations involved, or disprove them by giving a specific counterexample. All the functions are nonnegative functions defined on the set of natural numbers:

1. If f(n) = O(g(n)), then 2^f(n) = O(2^g(n))

2. For any nonnegative constants a and b, (n + a)^b = (n^b)