Question

If you raise 4 to the 214th power, what is the units digit of the result

How do I find the units digit?

Answer 1

`\begin{array}{lrlll} 4^1&\boxed{4}\\ 4^2&1\boxed{6}\\ 4^3&6\boxed{4}\\ 4^4&25\boxed{6}\\ 4^5&102\boxed{4}\\ 4^6&409\boxed{6} \end{array}\impliedby \textit{see the pattern for 4?}`

notice, it goes 4,6 then 4, 6 again, and so on and so on
based on whatever exponent it may have

now, you're being asked, what 214 will give? 4 or 6?