document.write( "Question 594103: 4th root of x^3 Y^5 z^8 \n" ); document.write( "
Algebra.Com's Answer #376627 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"root%284%2C+x%5E3y%5E5z%5E8%29\"\r\n" );
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document.write( "Rules for \"root%28N%2CB%5EM%2A%22%28OTHER_FACTORS_IF_ANY%29%22%29\"\r\n" );
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document.write( "1. If M is less than N, then leave it as it is.\r\n" );
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document.write( "2. If M can be divided evenly by N, then it equals \r\n" );
document.write( "\"matrix%282%2C1%2C%22%22%2CB%5E%28M%2FN%29%29%2A%22%22\"\"root%28N%2C%22%28OTHER_FACTORS_IF_ANY%29%22%29\"\r\n" );
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document.write( "3. If M is greater than N, then do this division\r\n" );
document.write( "where Q is the quotient and R is the remainder \r\n" );
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document.write( "       Q\r\n" );
document.write( "     N)M\r\n" );
document.write( "       ...\r\n" );
document.write( "        R  \r\n" );
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document.write( "Then it equals:\r\n" );
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document.write( "\"B%5EQ%2A%22%22\"\"root%28N%2CB%5ER%2A%22%28OTHER_FACTORS_IF_ANY%29%22%29\"\r\n" );
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document.write( "\"root%284%2C+x%5E3y%5E5z%5E8%29\"\r\n" );
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document.write( "For the x³, since 3 is less than 4, we use rule 1 and do nothing \r\n" );
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document.write( "For they y5, since 5 is greater than 4, we use rule 3\r\n" );
document.write( "and do this division:\r\n" );
document.write( "        \r\n" );
document.write( "       1 \r\n" );
document.write( "     4)5\r\n" );
document.write( "       4\r\n" );
document.write( "       1\r\n" );
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document.write( "and write:\r\n" );
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document.write( "\"y%5E1%2Aroot%284%2C+x%5E3y%5E1z%5E8%29\" and dispose of the 1 exponents:\r\n" );
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document.write( "\"y%2Aroot%284%2C+x%5E3yz%5E8%29\"\r\n" );
document.write( "     \r\n" );
document.write( "For the z8, since 8 can be divided evenly by 4, we\r\n" );
document.write( "use rule 2 and we end up with\r\n" );
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document.write( "\"yz%5E2%2Aroot%284%2C+x%5E3y%29\"\r\n" );
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document.write( "Edwin
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