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02-11-2021
Mathematics

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Find the remainders when 3^37^27 when it's divided by 11

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katen9910 katen9910

02-11-2021

Answer:

Rem|47^37^27/11|

= Rem|3^37^27/11|

Now Rem|3^5/11| = 1

Rem|37^27/5| = Rem|2^27/5|

= Rem|(2^4)^6x2^3/5|

= Rem|(2^4)^6/5| x Rem|8/5|

= 1 x 3 = 3

=> Rem|3^37^27/11| = Rem|3^3/11|

= Rem|27/11| = 5

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