document.write( "Question 257634: The values of a, b, c, and d are 0, 1, 2, and 3, although not necessarily in that order. What is the maximum value of the expression c⋅a^b – d ? \n" ); document.write( "

Algebra.Com's Answer #189522 by Edwin McCravy(20060) $\"\"$ $\"About$

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The values of a, b, c, and d are 0, 1, 2, and 3, although not necessarily in that order. What is the maximum value of the expression c⋅a^b – d ?
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document.write( "We can't use 0 at all in the first term since the first \r\n" );
document.write( "term would be 0 unless the exponent b was 0 and then the \r\n" );
document.write( "most the first term could be would be 3, then we'd have \r\n" );
document.write( "to take d away from that making the value even smaller.\r\n" );
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document.write( "Therefore d must be 0.\r\n" );
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document.write( "We can't use 1 as the exponent b or the base a, since \r\n" );
document.write( "the most we could get would be 6. So 1 must be the \r\n" );
document.write( "coefficient a and since  is greater than .\r\n" );
document.write( "So we must have\r\n" );
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document.write( ", where a=3, b=2, c=1 and d=0.\r\n" );
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document.write( "The maximum is 9.\r\n" );
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document.write( "Edwin

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