show that 12 to the power n cannot end with the digit 0 or 5 for any natural number N
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Step-by-step explanation:
12 to the power n cannot end with the digit 0 or 5 because for a number to end with the digit 0 or 5,it should have 2 and 5 both in its prime factorization.
Here 12 to the power n=(2*2*3) to the power n, I. E it contains only 2 and not both 2 and 5 in its prime factorization.
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