ParthKohli
  • ParthKohli
Working modulo 10.
Mathematics
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SOLVED
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schrodinger
  • schrodinger
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ParthKohli
  • ParthKohli
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:\[17^{17}\equiv 7^{17} \pmod{10}\]
ParthKohli
  • ParthKohli
What is the property used in that step?
shubhamsrg
  • shubhamsrg
17 = 7 mod10 hence 17^n = 7^n mod10

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ParthKohli
  • ParthKohli
Ah, ah. That clears everything up.
ParthKohli
  • ParthKohli
Thanks!
shubhamsrg
  • shubhamsrg
Glad in case I could help. ^_^

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