What does this notation mean? $\mathbb{Z}_{2}^{3}$

Question

In a question in graph theory I am given: $\text {Let } X=\mathbb{Z}_{2}^{3}$

However, the notation has not been defined or made clear. I am guessing the subscript means it is the integers mod 2 but what is the exponent in this case? Thank you.

Answer 1

$\mathbb Z_2^3\,$ can mean $\mathbb Z_2\times \mathbb Z_2\times \mathbb Z_2$, the set of triplets of elements of $\mathbb Z_2$.

I.e., $X=\{(0,0,0),(0,0,1),(0,1,0),(0,1,1),(1,0,0),(1,0,1),(1,1,0),(1,1,1)\}$.