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# Can i get some help with modulos?

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

What is the vaule of $$n$$?

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