Question:
If $A=\{-1,1\}$, find $A \times A \times A$.
Solution:
It is known that for any non-empty set A, A × A × A is defined as
$\mathrm{A} \times \mathrm{A} \times \mathrm{A}=\{(\mathrm{a}, b, c): a, b, c \in \mathrm{A}\}$
It is given that $A=\{-1,1\}$
$\therefore A \times A \times A=\{(-1,-1,-1),(-1,-1,1),(-1,1,-1),(-1,1,1)$
$(1,-1,-1),(1,-1,1),(1,1,-1),(1,1,1)\}$
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