A = {1, 2}, B = {2,3}, so the set A∩B={2}, and its power set P(A∩B) is {{2}, {empty set}}

A = {1, 2} and b = {2, 3}, then

P(A)={{ 1}, {2}, {1, 2}, {empty set}}

P(B)={{2}, {3}, {2,3}, {empty set}}

P(A)UP(B)={{ 1}, {2}, {3}, {1, 2}, {2,3}, {empty set}}