document.write( "Question 69602: Write in simplest form. (5r^3st^2)/(-10r^6s^3t)\r
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Algebra.Com's Answer #49578 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Write in simplest form.   \r\n" );
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document.write( "   \"%285r%5E3st%5E2%29%2F%28-10r%5E6s%5E3t%29\"\r\n" );
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document.write( "I have come up with\r\n" );
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document.write( "   \"t%2F%28-2r%5E-3s%5E-2%29\"\r\n" );
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document.write( "Can someone look this over and let me know if \r\n" );
document.write( "I am on the right track???\r\n" );
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document.write( "You should get POSITIVE exponents in the bottom where\r\n" );
document.write( "you have NEGATIVE exponents.  How did you manage to\r\n" );
document.write( "get them NEGATIVE?? \r\n" );
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document.write( "Let's go through it the most basic way so you \r\n" );
document.write( "will see:\r\n" );
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document.write( "  5r3st2\r\n" );
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document.write( " -10r6s3t\r\n" );
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document.write( "Break everything down into prime factors\r\n" );
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document.write( "      5·r·r·r·s·t·t\r\n" );
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document.write( " -2·5·r·r·r·r·r·r·s·s·s·t\r\n" );
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document.write( "Cancel the 5's\r\n" );
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document.write( "      1\r\n" );
document.write( "      5·r·r·r·s·t·t\r\n" );
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document.write( " -2·5·r·r·r·r·r·r·s·s·s·t\r\n" );
document.write( "    1\r\n" );
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document.write( "Cancel the three r's in the top with three\r\n" );
document.write( "of the r's in the bottom:\r\n" );
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document.write( "      1 1 1 1  \r\n" );
document.write( "      5·r·r·r·s·t·t\r\n" );
document.write( "--------------------------\r\n" );
document.write( " -2·5·r·r·r·r·r·r·s·s·s·t\r\n" );
document.write( "    1 1 1 1\r\n" );
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document.write( "Cancel the s in the top with one of the s's \r\n" );
document.write( "in the bottom:\r\n" );
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document.write( "      1 1 1 1 1  \r\n" );
document.write( "      5·r·r·r·s·t·t\r\n" );
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document.write( " -2·5·r·r·r·r·r·r·s·s·s·t\r\n" );
document.write( "    1 1 1 1       1\r\n" );
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document.write( "Cancel the t in the bottom with one of the \r\n" );
document.write( "t's in the top\r\n" );
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document.write( "      1 1 1 1 1 1 \r\n" );
document.write( "      5·r·r·r·s·t·t\r\n" );
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document.write( " -2·5·r·r·r·r·r·r·s·s·s·t\r\n" );
document.write( "    1 1 1 1       1     1\r\n" );
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document.write( "Erase all that canceled out and this is \r\n" );
document.write( "what we have left:\r\n" );
document.write( "                  \r\n" );
document.write( "                  t\r\n" );
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document.write( " -2·        r·r·r·  s·s\r\n" );
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document.write( "Close up the gaps:\r\n" );
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document.write( "       t\r\n" );
document.write( "---------------\r\n" );
document.write( " -2·r·r·r·s·s\r\n" );
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document.write( "Bring the negative sign from the bottom\r\n" );
document.write( "and put it out front of the fraction:\r\n" );
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document.write( "        t\r\n" );
document.write( "- -------------\r\n" );
document.write( "   2·r·r·r·s·s\r\n" );
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document.write( "Write r3 for r·r·r and s2 for s·s\r\n" );
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document.write( "      t\r\n" );
document.write( "- ---------\r\n" );
document.write( "   2·r3·s2\r\n" );
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document.write( "We can erase the dots for multiplication:\r\n" );
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document.write( "     t\r\n" );
document.write( "- -------\r\n" );
document.write( "   2r3s2\r\n" );
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document.write( "A quicker way to do the problem is to use this rule:\r\n" );
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document.write( "If an exponential factor of the top has the same base\r\n" );
document.write( "as an exponential factor in the bottom, subtract the \r\n" );
document.write( "smaller exponent from the larger exponent.\r\n" );
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document.write( "put the result in the top if the larger exponent was \r\n" );
document.write( "in the top and eliminate the factor from the bottom,\r\n" );
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document.write( "or\r\n" );
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document.write( "put the result in the bottom if the larger exponent\r\n" );
document.write( "was in the bottom and eliminate the factor from the \r\n" );
document.write( "top.\r\n" );
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document.write( "But don't get negative exponents!\r\n" );
document.write( "Edwin
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