Question

check whether 6n can end with the digit 0 for any natural numbers n

Answer 1

No 6^n can't end with 0 as on factorising 6^n we would get 3 and 2 as the prime factors and for any no. to end with 0 it should have 2 and 5 both in its prime factors.
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Answer 2

Answer:

if any number and with the digit 0, it should be divisible by 5.

prime factorization of 6n =(2×3)n

5 is not in prime factorization of 6n.

hence ,for any value of n 6 and will not be divisible by 5.

therefore,6 and cannot end with the digit 0 for any natural number n.