If $\displaystyle x^6 \equiv y^6 \mod{7^6} $, does this imply $\displaystyle x\equiv y \mod{7} $?
Follow Math Help Forum on Facebook and Google+
Originally Posted by mathman88 If $\displaystyle x^6 \equiv y^6 \mod{7^6} $, does this imply $\displaystyle x\equiv y \mod{7} $? Of course not: $\displaystyle (-1)^6=1^6\!\!\!\pmod{7^6}\,,\,\,but\,\,\,-1\neq 1\!\!\!\pmod 7$ Tonio
View Tag Cloud