Algebraic Proof II- Fermat's Last Theorem

In 1995, A, Wiles announced, using cyclic groups, a proof of Fermat's Last Theorem, which is stated as follows: If \(\pi\) is an odd prime and \(x, y, z\) are relatively prime positive integers, then \(z^\pi\not=x^\pi+y^\pi.\) In this note, a proof of this theorem is offered, using elementary Algebra. It is proved that if  \(\pi\) is an odd prime and \(x, y, z\) are positive inyegera satisfying  \(z^\pi=x^\pi+y^\pi\),  then \(x, y,\) and $z$ are each divisible by \(\pi\).