# Power of 3

$\begin{array} { r c r } 3^3 &=& {\color{red}{2}}7 \\ 3^4 &=& {\color{red}{8}}1 \\ 3^5 &=& 2{\color{red}{4}}3\\ 3^6 &=& 7{\color{red}{2}}9\\ 3^7 &=& 21{\color{red}{8}}7 \\ 3^8 &=& 65{\color{red}{6}}1 \end{array}$

The above shows the first few powers of 3, starting from $$3^3$$. Is it true that the second last digit (from the right) of $$3^n$$ for integers $$n\,(> 2)$$ is always an even number?

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