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Find the remainder when 367^367^367 is divided by 11

 Jun 18, 2022
 #1
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+1

367^367^367 mod 11==9 - the remainder.

 Jun 18, 2022
 #2
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+1
Could you show the steps I don't understand how you got that answer
Guest Jun 18, 2022
 #4
avatar+118118 
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The answerer got it with a little computer program that they wrote.

Melody  Jun 18, 2022
 #3
avatar+118118 
0

I can never remember whether

 

2^3^4    means     2^(3^4)      or      (2^3)^4

 Jun 18, 2022
 #5
avatar+118118 
+1

ok

367^367^367   mod11

= 367^(367^367)    mod11

= 4^(4^4)                mod11

= 4^ 256                 mod11

= 4^ 3                     mod11

=  64                      mod11

=   9                       mod11

 Jun 19, 2022

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