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

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Answer 1 · 2017-03-19T18:23:15

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

Modulo $6$ we find:

$0^3 = 0$

$1^3 = 1$

$2^3 = 8 -= 2$

$3^3 = 27 -= 3$

$4^3 = 64 -= 4$

$5^3 = 125 -= 5$

How you solve this? Solve in ZZ_6ZZ_6 equation:hat(x)^3=hatxhat(x)^3=hatx