Abstract
The equation a^n+ b^m = c^z represents a mathematical expression where a, b, and c are variables, and n, m, and z are positive integers representing exponents; essentially, it states: is a^n+ b^m = c^z?
"Fermat's general case" refers to the equation a^n + b^m = c^z where a, b, and c are positive integers, and n, m, and z are also positive integers with the key condition that n must be greater than 2; according to Fermat's Last Theorem, this equation has no solutions for positive integers in this scenario.



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