[SOLVED] Number Theory Challenge (not actually that hard) Find \(89^{307}\pmod{713}\) without using any kind of electronic aid. Please at least attempt it before resorting to Wolfram. Hint: \(713=23\cdot31\).

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Since I ran out of space on the question: I only decided to ask this because when I was first doing this problem, I quickly discovered I didn't need an electronic aid.

Hint 2: Use the Chinese Remainder Theorem. You will find it isn't as bad as it usually is.

what is mod? what class do we learn about this?

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