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Suppose \(11^5\equiv n\pmod 9\) where \(0\le n<9\)

 

What is the vaule of \(n\)?

 

 

ty in advance

 Aug 9, 2021
edited by Guest  Aug 9, 2021
 #1
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By Fermat's Little Theorem, $11^5 \equiv 2 \pmod{9}$.

 Aug 9, 2021
 #2
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\(11^5-floor(\frac{11^5}{9})\times9=5\)

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 Aug 10, 2021

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