Let A and B be sets.
Show, that $|(P(A))^B|=|(P(B))^A|$. I've tried to construct a bijection between the two, but so far I have failed miserably.
I would appreciate any tip that might push me in the right direction.
2026-03-29 18:57:07.1774810627
Cardinality: Equality between |P(A)^B| and |P(B)^A|.
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Hint: $P(A)\sim 2^A$ so $P(A)^B \sim (2^A)^B$