find the remainder if 8^401 is divided by 13

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- Nov 1st 2012, 06:47 AMtejashree24Plzz reply urgent!!!
find the remainder if 8^401 is divided by 13

- Nov 1st 2012, 07:16 AMa tutorRe: Plzz reply urgent!!!
Do you know Fermat's little theorem?

8^12__=__1 mod 13

8^401 = (8^12)^33 (8^5) - Nov 1st 2012, 07:20 AMtejashree24Re: Plzz reply urgent!!!
yes i know the theoremm... i wanted to check the answer which i got

- Nov 1st 2012, 07:25 AMa tutorRe: Plzz reply urgent!!!
Then you should have posted it.

BTW it's easy to check it yourself.

8^401 mod 13 - Wolfram|Alpha - Nov 1st 2012, 07:26 AMtejashree24Re: Plzz reply urgent!!!
yes thank you for the same... :)

- Nov 1st 2012, 07:39 AMtejashree24Re: Plzz reply urgent!!!
also... i have one more question

solve the following system of equations using matrix inversion method :

3x+y+2z=3

2x-3y-z=-3

x+2y+z=4

I'm having a paper tomorrow.. plz send me the steps if you can