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What is the remainder of (27^639 + 54^349)/28 |
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Answer» (27⁶³⁹ + 54³⁴⁹)/28To Find : remainder Solution:27⁶³⁹ + 54³⁴⁹= 27⁶³⁹ + (27 x 2)³⁴⁹= 27⁶³⁹ + 27³⁴⁹ x 2 ³⁴⁹= 27³⁴⁹ (27²⁹⁰ + 2³⁴⁹)27⁶³⁹ /28= (28 - 1)⁶³⁹ /28Hence remainder = (- 1 )⁶³⁹ = - 1as all other terms divisible by 2854³⁴⁹= (27 x 2)³⁴⁹= 27³⁴⁹ x 2 ³⁴⁹27³⁴⁹ remainder = (- 1)³⁴⁹ = -12³⁴⁹ = (2⁵)⁶⁹.2⁴2⁵ = 32 32 MOD 28 = 4 = 2²4⁶⁹.2⁴= 2¹⁴²= (2⁵)²⁸.2²= 2⁵⁶.2²=(2⁴)¹⁴.2²= 2²⁸.2²= (2⁴)⁷.2²= 2¹⁴.2²= (2⁴)⁴= 4⁴= 2⁸= (2⁴)²= 4²= 1654³⁴⁹ / 28 Remainder= -1 * 16= -16Total remainder = - 1 - 16 = -17Hence remainder = -17 + 28= 11(27⁶³⁹ + 54³⁴⁹)/28 remainder = 11Learn More : A number when divided by 357 leav remainder of 60. Find the ... brainly.in/question/7930527 Find the remainder when 888888 184times is divide by 37 brainly.in/question/13179894 |
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