Question

check whether 12n can end with the digit 0 or 5,for any natural number n​

Answer 1

a=bq+r

n=0,1

12^n = (2*2*3)^n                          

=2(1*1*3)^0

= 2   therefore it ends with 2

=2(1*1*3)^1

=2*2*3

=12   therefore ends with 12

=2(1*1*3)^2

=2*9

=18   therefore ends with 18

therefore 12^n cannot end with 0 or 5

Answer 2

Answer:

Step-by-step explanation:

No it will not end with the digit 0 and 5 because,prime factorisation of 12 is not of the form 2^n5^m,where n,m are non-negative integer.