Problem - 2741
What is the last digit of $7^{222}$?
The last digit of $7^n$ rotates in the set of $\{7, 9, 3, 1\}$. Because $2222\equiv 2\pmod{4}$, we find the answer is $\boxed{9}$.
The last digit of $7^n$ rotates in the set of $\{7, 9, 3, 1\}$. Because $2222\equiv 2\pmod{4}$, we find the answer is $\boxed{9}$.