Question

Consider a numbers 4 to the power of n where n is a natural number check whether there isany value of n for which 4 to the power of n ends with the digit zero

Answer 1

consider it,
4^2=16
4^3=16*4=64
you can see that when power is 3 ,the unit digit becomes 4 again which will become 6 when power is 4 and again 4 when power is 5.so it will never get 0 at unit digit, for any value of n.