Remainder of (3^27+5^27) when divided by 26
Answers
Given : (3²⁷ + 5²⁷) divided by 26
To Find : Remainder
Solution:
3²⁷ = (3³)⁹
= 27⁹
= (26 + 1)⁹
Divided by 26 leaves remainder = 1
5²⁷ = 5. (5²⁶)
= 5. (5²)¹³
= 5 (25¹³)
= 5( 26 - 1)¹³
(-1)¹³ = - 1
remainder = 5(-1) = - 5
1 - 5 = - 4
Remainder = -4 + 26 = 22
(3²⁷ + 5²⁷) divided by 26 then remainder = 22
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Answer:
3²⁷ = (3³)⁹
= 27⁹
= (26 + 1)⁹
Divided by 26 leaves remainder = 1
5²⁷ = 5. (5²⁶)
= 5. (5²)¹³
= 5 (25¹³)
= 5( 26 - 1)¹³
(-1)¹³ = - 1
remainder = 5(-1) = - 5
1 - 5 = - 4
Remainder = -4 + 26 = 22
(3²⁷ + 5²⁷) divided by 26 then remainder = 22