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CBSE Class 10 Answered

Q) When 2²⁵⁶ is divisible by 17, the remainder would be : a) 1 b)16 c)14 d)none of these
Asked by arindeep.singh | 22 Dec, 2020, 11:02: PM
answered-by-expert Expert Answer
2 to the power of 256 over 17 2 to the power of 256 space c a n space b e space w r i t t e n space a s space 2 to the power of 4 space x space 64 end exponent open parentheses 2 to the power of 4 close parentheses to the power of 64 over 17 rightwards double arrow open parentheses 16 close parentheses to the power of 64 over 17 H e r e space t h e space r e m a i n d e r space o f space 16 divided by 17 space i s space minus 1 space a s space t h e space p o w e r space o f space 16 space i s space e v e n space t h e r e f o r e space open parentheses negative 1 close parentheses to the power of 64 equals 1 H e n c e space t h e space r e m a i n d e r space w o u l d space b e space 1
Answered by Utkarsh Lokhande | 24 Dec, 2020, 10:44: AM

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