Find the Remainder of (3^27 + 5^27) when divided by 26 ?
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Answer:
3
57
=(3
3
)
19
∴3
57
+27=(27)
19
+27
=(28−1)
19
+27
=28M+(−1)
19
+27 [Expand by binomial theorem]
= 28M - 1 + 27
= 28M + 26
When 28M + 26 divided by 28 the remainder is 26 Hence the required remainder is 26
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