Question
Find $5^6(\bmod 4)$
✓
Answer
$
\begin{aligned}
5 & \equiv 1(\bmod 4)=1 \\
5^6 & \equiv 1^6(\bmod 4) \quad(\text { Using property } 5)
\end{aligned}
$
Hence, $5^6(\bmod 4)=1$
\begin{aligned}
5 & \equiv 1(\bmod 4)=1 \\
5^6 & \equiv 1^6(\bmod 4) \quad(\text { Using property } 5)
\end{aligned}
$
Hence, $5^6(\bmod 4)=1$
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