show that 4power n can never end with 0
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Answer:
Any number to end with 0 must be divisible by 2 and 5 . Since, 4 is divisible by 2, but not by 5. Therefore, any number of the form 4^n can never end with the digit 0. Hence,proved.
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Also we know from the fundamental theorem of arithmetic that the prime factorization of each number is unique. So, 5 is not a factor of 4n . Hence, 4n can never end with the digit 0.
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