Question

check whether 12ⁿ cannot end with the digit 0 or 5 for any natural number n

Answer 1

Here, Number=12ⁿ where n stand for any natural number .

Now 12ⁿ= (2² x3)ⁿ

Now , For 12ⁿ to end with 0, it should have 2 as well as 5 in its Prime factors to end with 0, Also to end with 5 , it requires at least a single multiple of 5 in its Prime Factors, So 12ⁿ cannot end with the digit 0 or 5.