Fermat's Last Theorem is Equivalent to Beal's Conjecture

It is proved in this paper that (1) \underline{ Fermat's Last Theorem:} If $\pi$ is an odd prime, there are no relatively prime positive integers $x, y, z$ satisfying the equation $z^\pi=x^\pi+y^\pi,$ and (2) \underline { Beal's Conjecture :} The equation $z^\xi=x^\mu+y^\nu$ has no solution in relatively prime positive integers $x, y, z $ with $\mu, \xi $ and $ \nu$ odd primes at least $3$. It is also proved that these two statements, (1) and (2), are equivalent.