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ParthKohli Group Title

Working modulo 10.

  • one year ago
  • one year ago

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  1. ParthKohli Group Title
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    What is the last digit of \(17^{17}\)? I know that we have to do modulo \(10\), but this is the step I am confused about:\[17^{17}\equiv 7^{17} \pmod{10}\]

    • one year ago
  2. ParthKohli Group Title
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    What is the property used in that step?

    • one year ago
  3. shubhamsrg Group Title
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    17 = 7 mod10 hence 17^n = 7^n mod10

    • one year ago
  4. ParthKohli Group Title
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    Ah, ah. That clears everything up.

    • one year ago
  5. ParthKohli Group Title
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    Thanks!

    • one year ago
  6. shubhamsrg Group Title
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    Glad in case I could help. ^_^

    • one year ago
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