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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(2): One unusual solution Comment 7 of 7 |
(In reply to re: One unusual solution by warren zephaniah)

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  Posted by hellenjos on 2018-10-31 03:07:22

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