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.

(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