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54 to the power 124 divided by 17
Read Solution (Total 6)
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- 3^124 = (3^7)^17 · 3^5
Since 7 and 17 are co-primes.
(3^7)^17 will leave the same remainder when divided by 17 as 3^7
=>3^7 · 3^5 = 3^12
And since 3^12 has remainder 4 when divided by 17,
so when 3^124 is divided by 17 gives 4 as remainder.
Answer is 4.
Correct me if I am wrong. - 10 years agoHelpfull: Yes(19) No(5)
- ans is 1
divide 54 by 17..remainder will be 3
3^124..last digit will b 1 - 10 years agoHelpfull: Yes(4) No(3)
- 54^124/7
54/17=3
so 3^124/17 now 3 - 10 years agoHelpfull: Yes(4) No(0)
- 54/17=3
so remainder = 3
- 10 years agoHelpfull: Yes(2) No(2)
- 54^(16*7)+12/11
54^12/11
3^12/11
so the ans is 3. - 10 years agoHelpfull: Yes(0) No(3)
- 6 (4^even =unit digit 6 /17 ) remainder is 6
- 9 years agoHelpfull: Yes(0) No(0)
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