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ParthKohli

  • 3 years ago

Working modulo 10.

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  1. ParthKohli
    • 3 years ago
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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:\[17^{17}\equiv 7^{17} \pmod{10}\]

  2. ParthKohli
    • 3 years ago
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    What is the property used in that step?

  3. shubhamsrg
    • 3 years ago
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    17 = 7 mod10 hence 17^n = 7^n mod10

  4. ParthKohli
    • 3 years ago
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    Ah, ah. That clears everything up.

  5. ParthKohli
    • 3 years ago
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    Thanks!

  6. shubhamsrg
    • 3 years ago
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    Glad in case I could help. ^_^

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