Question

check whether 9^n can end with the digit 0 for any natural number n

Answer 1

Hey frnd !!!!☺


9^n cannot end with the digit 0 for any natural number n ...

This is becoz if any digit ends with zero it shld contain 2 and 5 has its factors.

But 9^n has 3^n and 3^n has factors...

Therefore by the fundamental theorem of arithmetic 9 n cannot end with zero..

Hope this helps u ☺

Answer 2

heya mate here's your answer >>>

prime factorisation of 9 = 3×3

to end with digit 0 we need 2 and 5 in its prime factorisation but 2&5 are not present in the prime factorization of 9

so, we conclude that 9^n cannot be end with 0 when n is any natural number

hope this helps you