Elegant Exponent Exposition (Posted on 2009-02-09)

Substitute each of the capital letters in bold by a different decimal digit from 1 to 9 and determine the minimum positive integer value that the following cryptarithmetic expression can assume.

(A/B)^{C} + (D/E)^{F} + (G/H)^{I}

How about the maximum positive integer value that this expression can assume?

Charlie has extended this problem by considering the respective minimum and the maximum positive rational values that the expression can assume - in this location.

For a list of all possible distinct positive integer values that the given expression can assume, refer to the answer submitted by Dej Mar in this location.

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