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Commutative Exponentiation (Posted on 2017-07-07) Difficulty: 4 of 5
In general exponentiation is not commutative. However most people are aware of the pair 2 and 4 as a pair of unequal numbers for which exponentiation is commutative.

Show that there are an infinite number of pairs of unequal numbers for which exponentiation is commutative.

Go further and show that there are an infinite number of pairs of unequal rational numbers for which exponentiation is commutative.

See The Solution Submitted by Brian Smith    
Rating: 4.0000 (1 votes)

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re: One unusual solution Comment 6 of 6 |
(In reply to One unusual solution by Steve Herman)

The type is typically appeared as a superscript to one side of the base. All things considered, bn is called b raised to the n-th control, b raised to the energy of n, or the n-th energy of b.  Dissertation Service
  Posted by warren zephaniah on 2017-08-18 05:07:48

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