Super_Bassoonist64

Prove that 

With n, x, y, z ∈ N (meaning that n, x, y, z are all positive whole numbers) and n > 2, the equation xⁿ + yⁿ = zⁿ has no solutions.

Grades: M, Sci, SS: 100, RLA: 96

Extracurricular scores: AMC 8: 24,

                                        AMC 10 A: 102,