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Question

consider the numbers 4 raised to n , where n is a natural number. check whether there is any value of n for which 4 raised to n ends with digit zero

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Solution

no there is no value of n such that 4^n ends with zero . there are cycles for every digit .(the last digit of the powers of any digit reapeat after a particular number of times .like 4^1=4, 4^2=16, 4^3=64. here the cycle is quite simple and so we can easily find that the ending digits are 4 and 6 so never a zero comes in the last digit

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