**Author:**

Nieves Rivas, Rodolfo A.

**Sub-Category:**

Mathematics and Applied Mathematics

**Date Published:**

February 19, 2014

**Keywords:**

Canonical representation; characterization; Beal's triples.

**Abstract:**

We present in this brief article three equations for the canonical representation of the terms corresponding to particular cases and obtaining the equation triples of the Beal's conjecture. Then, we establish its characterization and conclude with some examples that allow us to visualize the behavior and to lay the foundations that guarantee the ultimate resolution of this conjecture.

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