Ask Question
31 August, 08:55

What is the unit's digit of 3127 to the power of 173

+1
Answers (1)
  1. 31 August, 11:16
    0
    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.
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “What is the unit's digit of 3127 to the power of 173 ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers