Let A={1,2,3}A = \{1, 2, 3\}A={1,2,3}. What is the cardinality of P(P(A))P(P(A))P(P(A))?
23=82^3 = 823=8
28=2562^8 = 25628=256
223=2562^{2^3} = 256223=256
32=93^2 = 932=9