what is remainder when 6 17 17 6 169 235 is diveded by 7

remainder is 1
(6^17)/7=(7-1)^17/7=(-1)^17=-1
(17^6)/7=(1)6=1
169^235/7=(24*7+1)^235=1^235=1
by adding=-1+1+1=1
11 years agoHelpfull: Yes(21) No(3)
6^(any number)=6 as unit digit
next 17^6 means 7^6 gives =1 as unit digit
next 169^235 means 9^235=9^234.9=9 as unit digit then lastly
6+1+9=16;by this 17/7 gives remainder 2
11 years agoHelpfull: Yes(3) No(13)
@GANESH CHEMANCHULA & NIKHIL SAXENA
remainder will be 6
consider the above question as three parts
1.6^17/7
2.17^6/7
3.169^235/7
in first part
when 6 divided by 7 remainder is -1 so it will become (-1)^17=-1
in 2nd part
when 17 divided by 7 remainder will be 3 so (3)^6/7=(3^2)^3/7
when 9(3^2) divided by 7 gives remainder -2 so (-2)^3/7=-(8)/7
when 8 divided by 7 gives remainder is -1
BUT HERE THERE IS NEGATIVE REMAINDER SO IT SHOULD BE SUBTRACTED FROM DENOMINATOR
SO IT WILL BE 7-1=6
3RD PART
WHEN 169 DIVIDED BY 7 GIVES REMAINDER 1 SO (1^235)/7=1(REMAINDER)
SO OVER ALL REMAINDER =(-1+6+1)=6
11 years agoHelpfull: Yes(3) No(15)
remainder is 0
11 years agoHelpfull: Yes(2) No(19)
remainder is 2.
11 years agoHelpfull: Yes(0) No(12)
6^17=6
17^6=1
169^235=9
so (6+1+9)/7= 16/7;
so,remainder is 2;
11 years agoHelpfull: Yes(0) No(4)
Remainder is 2
11 years agoHelpfull: Yes(0) No(4)
remainder 3
the unit digit 6^7 is 6
the unit digit 7^6 is 9
the unit digit 9^5 is 9
6+9+9=24/7=3
6 years agoHelpfull: Yes(0) No(1)

what is remainder when 6^17+17^6+169^235 is diveded by 7