Given an integer N with an odd number of digits. Let M be the integer formed by reversing the order of the digits.(for example, if N = 123, then the integer formed by reversing the order of the digits of N is M = 321).Show that (N) power 11- (M) power 11 is divisible by 11. Given an integer N with an odd number of digits. Let M be the integer formed by reversing the order of the digits.(for example, if N= 123, then the integer formed by reversing the order of the digits of N is M = 321).Show that (N)" - (M)" is divisible by 11.

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Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Given an integer N with an odd number of digits. Let M be the integer formed by reversing the order of the digits.
(for example, if N = 123, then the integer formed by reversing the order of the digits of N is M = 321).
Show that (N) power 11- (M) power 11 is divisible by 11.

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