The power set of A ∪ B, where A = {2, 3, 5, 7} and B = {2, 5, 8, 9} is:

First, determine the union of sets A and B by combining distinct elements from both. Union A ∪ B contains {2, 3, 5, 7, 8, 9}. This union has exactly 6 distinct elements. The size of the power set is calculated as $2^n$, where n is the number of elements. Thus, $2^6 = 64$.