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
2^n×5^n can also be written as
2^n×5^n=(2×5)^n=(10)^n
which always ends in zero, as 10²=100,10³=1000,.....
thus, there is no value of n for which (2^n×5^n) ends in 5