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## ParthKohli 2 years ago Working modulo 10.

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1. 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:$17^{17}\equiv 7^{17} \pmod{10}$

2. ParthKohli

What is the property used in that step?

3. shubhamsrg

17 = 7 mod10 hence 17^n = 7^n mod10

4. ParthKohli

Ah, ah. That clears everything up.

5. ParthKohli

Thanks!

6. shubhamsrg

Glad in case I could help. ^_^

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