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Find the last three digits of 6^{123}.

 Dec 1, 2019
 #1
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6^123 = 515945 4622617837 5515239884 1011116745 4591566985 2646762165 0685651061 6584006248 5304122198 5753890816.

 Dec 1, 2019
 #2
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To do this in a good way, I would try to find a pattern in the last three digits. 

 Dec 1, 2019
 #3
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not sure if this helps. but finding the last three digits of something is finding the remainder when divided by 1000

 Dec 1, 2019

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