Check whether `12^n` can end with the digit 0 for any natural number n.

Check whether 6^(n) can end with the digit 0 for any natural number n.

Check whether can end with the digit 0 for any natural number n.

Check whether 15^(n) can end with digit zero for any natural number n.

Check whether 6^(n) can end with the digit 0 (zero) for any natural number n .

Show that 12^(n) cannot end with the digits 0 or 5 for any natural number n

Can 15^(n) end with the digit 0 , for any natural number n . Justify your answer .

Show that 9^n cannot end with the digit 2 for any n in N .

If 6^n - 5^n always end with a digit, where n is any natural number, then the desired digit is

check whether the relation R in the set N of natural numbers given by R = { (a,b) : a is divisor of b } is reflexive, symmetric or transitive. Also determine whether R is an equivalence relation