Question

How you solve this? Solve in `ZZ_6` equation:`hat(x)^3=hatx`

Answer 1

All elements of `ZZ_6` satisfy `x^3 = x`

Explanation:

Modulo `6` we find:

`0^3 = 0`

`1^3 = 1`

`2^3 = 8 -= 2`

`3^3 = 27 -= 3`

`4^3 = 64 -= 4`

`5^3 = 125 -= 5`