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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?

Submitted by K Sengupta

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Solution: (Hide)

The minimum positive integer value that the given expression can assume is 70.

The maximum positive integer value that the given expression can assume is 134,217,888.

EXPLANATION:

Refer to the solution submitted by Charlie in this location.

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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.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
solution	Dej Mar	2009-02-09 17:33:10
re: computer solution -- extension to non-integral results	Charlie	2009-02-09 13:01:14
computer solution	Charlie	2009-02-09 12:51:16

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