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Chinese remainder theorem

\[{43}^{333}+{23}^{444} \equiv \, ? \pmod{66}\]

I need help. How to solve the above expression through chinese remainder theorem? Please post the solution, with a bit of explanation if required.

Note by Abhay Tiwari
3 months, 2 weeks ago

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What have you tried?
Can you evaluate it mod 2? mod 3? mod 11? Calvin Lin Staff · 3 months ago

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