ALGEBRAIC PROOF IV FERMATS LAST THEOREM

Abstract

The special case  z⁴ = x⁴ + y⁴ is impossible [1]. In view of this fact, it is only necessary to prove, if x, y, z, are relatively prime positive integers, Ï€ is an odd prime, z^Ï€ = x^Ï€ +y^Ï€  (In this article, the symbol Ï€ will represent an odd prime). Also, a new proof is given that  z⁴ = x⁴ + y⁴ is impossible.