document.write( "Question 334005: Replace each of the variables a, b, and c with a different digit selected from the set {2, 3, 5, 6, 8}. What is the greatest possible value of the expression $\"a%5Eb%2Bc\"$ that is less than 100? \n" ); document.write( "

Algebra.Com's Answer #239401 by Edwin McCravy(20060) $\"\"$ $\"About$

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document.write( "The answer could not use  or any power of 3, 5, 6, or 8 higher than the\r\n" );
document.write( "power 2, since that would result in a value over 100 even before adding c.\r\n" );
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document.write( "So the value of the first term  could at most be one of these\r\n" );
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document.write( ", , , , or \r\n" );
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document.write( "So the most we could get for  is 64.  So the answer is between using\r\n" );
document.write( " and .  However if we used  for the 64, the largest number 8 \r\n" );
document.write( "would not be available for c to add to it, whereas if we use , we can\r\n" );
document.write( "add the largest number 8 to that.  Thus the answer is:\r\n" );
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document.write( "Edwin

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