If a set S contains exactly n elements, we say n is the cardinality or size of S and write S = n. There exists a useful formula for determining the cardinality of any power set: If |S = n, then |P(S)| = 2". Using this fact, answer the following questions regarding the power set. Remember that the Numbas syntax for {1,2,3} is set (1,2,3). Note also that Numbas syntax uses for exponentiation. For example, 39 should be entered as 3^9. a) For any set A, we know that P(A) must contain the elements {} and A itself. Consider the case where A = {} is the empty set. What is P({})? Show steps (Your score will not be affected.) Answer: b) Given that |B| = 2, what is P(P(P(B)))|? Show steps (Your score will not be affected.) Answer: