Question

Show that a number of the form ${14}^n$, where $n$ is a natural number can never end with digit zero.

Answer 1

Consider the series of ${14}^n$

Which is $14,196,2744,\mathrm{38416...}$

If we observe the units digit has only $2$ repeated numbers $4,6$

For zero to occupy units place either $10$ or both $2,5$ should be multiplied which doesn't take place here

So zero cannot be the units digit of the series ${14}^n$