document.write( "Question 903773: Find the positive integer values of a,b and c in\r
\n" ); document.write( "\n" ); document.write( "2 to the power of a * 5 to the power of b * c = 1400
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Algebra.Com's Answer #548308 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
\"2%5Ea%2A5%5Eb%2Ac=1400\"
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document.write( "We break 1400 down into prime factors:\r\n" );
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document.write( "           1400\r\n" );
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document.write( "        100     14\r\n" );
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document.write( "      10   10  2  7\r\n" );
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document.write( "     2  5 2  5\r\n" );
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document.write( "1400 = \"2%5E3%2A5%5E2%2A7\"   \r\n" );
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document.write( "\"2%5Ea%2A5%5Eb%2Ac=2%5E3%2A5%5E2%2A7\"\r\n" );
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document.write( "So the power of 2 on the left must equal the power of 2\r\n" );
document.write( "on the right, so a=3.\r\n" );
document.write( "The power of 5 on the left must equal the power of 5 on\r\n" );
document.write( "the right, so b=2. And then c=7.\r\n" );
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document.write( "Edwin

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