Can i get some help with modulos?

Question

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428

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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

Guest Aug 9, 2021

edited by Guest Aug 9, 2021

Guest · Answer 1 · 2021-08-09T10:02:30

By Fermat's Little Theorem, $11^5 \equiv 2 \pmod{9}$.

Alan · Answer 2 · 2021-08-10T01:28:35

$11^5-floor(\frac{11^5}{9})\times9=5$

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