perplexus.info :: Just Math : Commutative Exponentiation

Commutative Exponentiation (Posted on 2017-07-07)

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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Subject	Author	Date
re(2): One unusual solution	hellenjos	2018-10-31 03:07:22
re: One unusual solution	warren zephaniah	2017-08-18 05:07:48
One unusual solution	Steve Herman	2017-07-07 19:15:29
rest of the solution	Paul	2017-07-07 15:09:38
rational solutions	Paul	2017-07-07 14:53:40
exploration	Charlie	2017-07-07 14:22:36
Real solutions	Jer	2017-07-07 12:20:19

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