Remainder Theorem!!

Find the remainder when 7 84 7^{84} is divided by 342.

341 343 49 1

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1 solution

Mathh Mathh
May 16, 2015

7 3 343 1 ( m o d 342 ) 7^3\equiv 343\equiv 1\pmod{\! 342}

7 84 ( 7 3 ) 28 1 28 1 ( m o d 342 ) 7^{84}\equiv (7^{3})^{28}\equiv 1^{28}\equiv 1\pmod{\! 342}

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