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Let  \(a\equiv (3^{-1}+5^{-1}+7^{-1})^{-1}\pmod{11}\). What is the remainder when a is divided by 11?

 

i am not trying to cheat i swear. you dont HAVE to give the answer but ive been trying to solve this problem for abt 30 mins now and im kinda just bored of it now. If you want to please give answer and explaination. i wana LeArN

 Apr 15, 2021
 #1
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+1

a =  ( 35/105 + 21/105  + 15/105)-1

  =   (71/105)-1

  = 105/71

 

 

105/71  mod 11   =  105/71    =    1 34/105  =   1.47887

 Apr 15, 2021
 #2
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that is incorrect and i didnt really understand this answer of yours.

Guest Apr 15, 2021
 #3
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+1

 a = (4+9+8)^(-1)

a = 10^(-1)

a = 10

 

Hope this helped. :))

 

=^._.^=

 Apr 15, 2021
 #4
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thankn you. i learned a lot from this. 

Guest Apr 15, 2021
 #5
avatar+2124 
+1

you're welcome :))

 

=^._.^=

catmg  Apr 15, 2021

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