Question

The unit digit of (〖7^23)〗^463 is

Answer 1

7^1=7,7^2=9,7^3=3,7^4=1,7^5=7...these are unit digits for powers of 7.for every 4 digits it repeated sequence 23%4=3,7^3=3,..3^463=??
3^1=3,3^2=9,3^3=7,3^4=1...unit digits(repeating every 3 numbers)...463%3=1...so 3^1=3