Question

For the set A = {0, {1}}, determine A2 = A * A

Answer 1

Assuming that you refer to
`A^2` as the Cartesian product of A with A, then remember that the cartesian product of two sets A and B is the set

`A* B=\{(a,b): a\in A, b\in B\}`

Then, if
`A=\{0,\{1\}\}`,

`A^2=A* A=\{(0,0), (0,\{1\}),(\{1\},0),(\{1\},\{1\})\}`