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 September 10th, 2014, 08:36 AM #1 Senior Member   Joined: Nov 2013 Posts: 434 Thanks: 8 find the remainder The rest of the divisible 3^99 divide by 8
 September 10th, 2014, 08:46 AM #2 Senior Member   Joined: Jul 2014 From: भारत Posts: 1,178 Thanks: 230 Check out this link : http://www.wolframalpha.com/input/?i=%283^%2899%29%29%2F8
 September 10th, 2014, 08:52 AM #3 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,689 Thanks: 2669 Math Focus: Mainly analysis and algebra $$3^{99} \equiv 3(3^2)^{49} \equiv 3\cdot 9^{49} \equiv 3 \cdot 1^{49} \equiv 3 \cdot 1 \equiv 3 \pmod 8$$ Thanks from topsquark and aurel5 Last edited by v8archie; September 10th, 2014 at 08:58 AM.
September 10th, 2014, 09:04 AM   #4
Math Team

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From: Colombia

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Math Focus: Mainly analysis and algebra
Quote:
 Originally Posted by prakhar Check out this link : http://www.wolframalpha.com/input/?i=%283^%2899%29%29%2F8
Wolfram Alpha has failed you again, Prakhar. At least it's an acknowledged source this time.

September 10th, 2014, 09:36 AM   #5
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From: St. Augustine, FL., U.S.A.'s oldest city

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Math Focus: Calculus/ODEs
Quote:
 Originally Posted by mared The rest of the divisible 3^99 divide by 8

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