ParthKohli
Working modulo 10.
Delete
Share
This Question is Closed
ParthKohli
Best Response
You've already chosen the best response.
0
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
Best Response
You've already chosen the best response.
0
What is the property used in that step?
shubhamsrg
Best Response
You've already chosen the best response.
1
17 = 7 mod10
hence
17^n = 7^n mod10
ParthKohli
Best Response
You've already chosen the best response.
0
Ah, ah. That clears everything up.
ParthKohli
Best Response
You've already chosen the best response.
0
Thanks!
shubhamsrg
Best Response
You've already chosen the best response.
1
Glad in case I could help. ^_^