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(6^17+17^6)7,what is the remainder?
Read Solution (Total 10)
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- 6/7 = -1 remainder
(-1)^17 = -1
17/7 = 3 remainder
(3)^6 = (9)^3
9/7 = 2 remainder
(2)^3 = 8/7 =1 remainder
so , -1+1 =0 ans - 11 years agoHelpfull: Yes(11) No(0)
- 6^17/7={(6^2)^8*6}/7=(1*6)/7=6
and
17^16/7=3^6/7=1
answer=6+1=7 - 11 years agoHelpfull: Yes(4) No(4)
- reminder 0
6^17 remainder=-1
17^6 remainder=1 - 11 years agoHelpfull: Yes(3) No(5)
- reminder 1
6^17 remainder=-1
17^6 remainder=2
So, -1 + 2 =1 - 11 years agoHelpfull: Yes(3) No(4)
- 6/7 leaves remainder 6 and 6^2/7 leaves remainder 1..so for odd powers remainder would be 6..similarly for 17^6 ..remainder would be 5..so 6+5/7 leaves remainder 4..
ans = 4 - 11 years agoHelpfull: Yes(1) No(4)
- 6^17 /7 gives remainder 6
17^6 /7 gives remainder 2
total remaider= 6+2=8
8/7 gives remainder 1
therefore ans is 1 - 11 years agoHelpfull: Yes(1) No(2)
- Ans is definitely cz odd powers of 6/7 like 6 raise to 1,3...
Always gives remainder as 6, check for 6;216
also 17 raise to 6 when divided with 7 gives 1 as remainder.... So (6+1)/7=remainder 0 - 11 years agoHelpfull: Yes(1) No(1)
- 1
logic
6/7=-1
-1^17=-1
17/7=3
3^6=last digit will be 9
9/7=2
2-1=1
- 11 years agoHelpfull: Yes(1) No(1)
- 17*6=102*7=714
- 11 years agoHelpfull: Yes(0) No(5)
- plz explain clearly
i couldn't understand - 11 years agoHelpfull: Yes(0) No(0)
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