document.write( "Question 895224: 67^67+67 divided by 68 what will be reminder \n" ); document.write( "

Algebra.Com's Answer #542697 by Edwin McCravy(20065) $\"\"$ $\"About$

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document.write( "Expand by the binomial expansion:\r\n" );
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document.write( "Every term in that summation except the very last one \r\n" );
document.write( "is a multiple of 68.  So we separate the summation into \r\n" );
document.write( "the summation of all the terms except the last one and \r\n" );
document.write( "then add the last term to that:\r\n" );
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document.write( "and since \r\n" );
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document.write( "Every term in the summation is a multiple of 68, so the whole\r\n" );
document.write( "summation is a multiple of 68, so let's label that summation as \r\n" );
document.write( "68n, for some positive integer n.\r\n" );
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document.write( "So we have\r\n" );
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document.write( "Therefore\r\n" );
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document.write( "So the remainder when divided by 68 will be 66\r\n" );
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document.write( "Answer: 66\r\n" );
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document.write( "Edwin

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