Problem
NT-B1-M03-P004 Last Digit
#4
★☆☆☆☆ Level 1 of 5
Find the last digit of \(3^{2025}\).
Look at the cycle of last digits of powers of \(3\).
The last digits of powers of \(3\) are \(3,9,7,1\), with cycle length \(4\). Since \(2025\equiv1\pmod4\), the last digit is \(3\).
First exercise on cycles of powers.