#1**0 **

(129^34+96^38) =[212043 3921703930 3573395047 5179191787 1974830700 5020117631 0367952329 7321308417] mod 11 = 9 - the remainder.

Guest Aug 12, 2018

#2**+3 **

Heureka, could you please check if what I have done is valid

I am not sure about the rules for modulus but this is my attempt

What is the remainder when 129^(34)+96^(38) is divided by 11?

129^(34)+96^(38) [mod11]

= (-3)^34+(-3)^38 [mod 11]

=(-3)^34(1+(-3)^4) [mod11]

= 9^17 (1+81) [mod11]

= (-2)^17(82) [mod11]

=( -32*32*32*4)(5) [mod11]

= (-1*-1*-1*-1 *4)(5) [mod11]

=20 mod11

=9 mod 11

Melody Aug 12, 2018