We have, A = {5, 7}

So, By the definition of the Cartesian product,

Given two non – empty sets P and Q. The Cartesian product P × Q is the set of all ordered pairs of elements from P and Q, .i.e.

P × Q = {(p, q) : p Є P, q Є Q}

Here, A = {5, 7} and A = {5, 7}.So,

A × A = {(5, 5), (5, 7), (7, 5), (7, 7)}

Now again, we apply the definition of Cartesian product to find A × A × A

Here, A = {5, 7} and A × A = {(5, 5), (5, 7), (7, 5), (7, 7)}

∴ A × A × A = {(5, 5, 5), (5, 5, 7), (5, 7, 5), (5, 7, 7), (7, 5, 5), (7, 5, 7), (7, 7, 5), (7, 7, 7)}