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Beal Conjecture False as Exponents Raising Bases are Different than Multiplied Factors-Two Examples Provided


Authors : James Timothy Struck

Volume/Issue : Volume 11 - 2026, Issue 8 - August


Google Scholar : https://tinyurl.com/2facxukm

DOI : https://doi.org/10.38124/ijisrt/26aug759

Note : A published paper may take 4-5 working days from the publication date to appear in PlumX Metrics, Semantic Scholar, and ResearchGate.


Abstract : I show that multiplied factors can be different than exponents or powers raising bases. Beal conjecture can be seen as untrue. If I take a base and raise the base to a power or an exponent, that is different than factor multiplied the number of times as a factor multiplies a factor. 3^5 as a multiplied factor would give 15 as a multiplied factor. As an exponent power, 3^5 would give 125. 15 as a factor is different than 125 3 as a base raised to a power.

Keywords : Bases, Exponents, Factors, Powers, Beal Conjecture.

References :

  1. Gordon Williams personal conversation with me in 2024 via email as the editor of Mathematics Magazine.
  2. Ibid.
  3. “What do product and exponent mean.” Paraphrased question From Google.com accessed 8/14/2026.
  4. “What does factor mean.” Paraphrased question From google.com accessed 8/14/2026.

I show that multiplied factors can be different than exponents or powers raising bases. Beal conjecture can be seen as untrue. If I take a base and raise the base to a power or an exponent, that is different than factor multiplied the number of times as a factor multiplies a factor. 3^5 as a multiplied factor would give 15 as a multiplied factor. As an exponent power, 3^5 would give 125. 15 as a factor is different than 125 3 as a base raised to a power.

Keywords : Bases, Exponents, Factors, Powers, Beal Conjecture.

Paper Submission Last Date
30 - September - 2026

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