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ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0What 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
 one year ago
Best ResponseYou've already chosen the best response.0What is the property used in that step?

shubhamsrg
 one year ago
Best ResponseYou've already chosen the best response.117 = 7 mod10 hence 17^n = 7^n mod10

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.0Ah, ah. That clears everything up.

shubhamsrg
 one year ago
Best ResponseYou've already chosen the best response.1Glad in case I could help. ^_^
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