What is the unit's digit of 3127 to the power of 173
3127^173 ≡ 7^173 mod 10 Now - let's look at the powers of 7 mod 10: 7^1 = 7 mod 10 7^2 = 49 ≡ 9 mod 10 7^3 ≡ 3 mod 10 7^4 ≡ 1 mod 10 And this cycle repeats. So 7^173 ≡ 7^1 ≡ 7 mod 10 The last digit is 7.