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Show that there is no value of n for which (2^n×5^n) ends in 5.

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One of the most important and exam oriented question from real numbers chapter as it was already asked in previous year papers in which we have given a number (2^n×5^n) and we have to find the value of n for which the given number ends in 5.

Kindly solve the above problem in detail

RS Aggarwal, Class 10, chapter 1E, question no 12


1 Answer

  1. 2^n×5^n can also be written as


    which always ends in zero, as 1=100,1=1000,.....

    thus, there is no value of n for which (2^n×5^n) ends in 5

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