Question

Show that no natural number such that 4 power n does not end with zera

Answer 1

Showing that no natural number ending with zero.

Natural number to end with zero must be divisible by 2 or 5.

As we know that 4 is divisible by 2 i.e 4/2=2

But not completely divisible by 5.

4/5=0.8

Hence any natural number that form 4^n cannot end with 0 digit.