document.write( "Question 1087349: If the products of the integers a, b and c is 1, then what is the difference between the largest and smallest possible values of\r
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Algebra.Com's Answer #701718 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "The only integer factors of 1 are +1 and -1.\r\n" );
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document.write( "a^2 and c^4 will be 1 regardless of whether \r\n" );
document.write( "a and c are +1 or -1 because even powers of\r\n" );
document.write( "1 or -1 are always 1.\r\n" );
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document.write( "Any odd power or +1 is +1\r\n" );
document.write( "Any odd power of -1 is -1  \r\n" );
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document.write( "So the value of a^2*b^3*c^4\r\n" );
document.write( "depends on whether b is +1 or -1, because the\r\n" );
document.write( "power of b is 3 which is odd.\r\n" );
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document.write( "The value of a^2*b^3*c^4 is -1 when when b=-1 \r\n" );
document.write( "and +1 when b=+1.\r\n" );
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document.write( "So the largest value of a^2*b^3*c^4 is +1\r\n" );
document.write( "and the smallest value of it is -1.\r\n" );
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document.write( "Largest - smallest = 1 - (-1) or\r\n" );
document.write( "                       1 + 1\r\n" );
document.write( "which is  -->            2\r\n" );
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document.write( "Edwin
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