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16 n can end with 0 for n belongs to N |
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Answer» It cannot end with digit zero because in 16 n (2×2×2×2) n is there and for ending with digit zero the number must contain 2 and 5 in its prime factors and 16 only contain 2 but not 5 that is why it cannot end with 0 16ⁿ = (2×2×2×2)ⁿPrime factorisation of 16ⁿ does not contain the prime factor 5. Therefore, 16ⁿ cannot end with digit 0 for any natural number n |
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