document.write( "Question 538688: Please help us to simplify the expression and leave anser with only
\n" ); document.write( "positive exponents: \"%28p%5E%28-3%29%2Bq%5E%28-2%29%29%2Fq%5E%28-1%29\"
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #353229 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
\"%28p%5E%28-3%29%2Bq%5E%28-2%29%29%2Fq%5E%28-1%29\"
\n" ); document.write( "
\r\n" );
document.write( "Make two fractions:\r\n" );
document.write( "\r\n" );
document.write( "\"p%5E%28-3%29%2Fq%5E%28-1%29\" + \"q%5E%28-2%29%2Fq%5E%28-1%29\"\r\n" );
document.write( "\r\n" );
document.write( "Get all the negative exponents positive by\r\n" );
document.write( "\r\n" );
document.write( "using this rule: \"X%5E%28-N%29%2FY%5E%28-M%29\" = \"Y%5EM%2FX%5EN\"\r\n" );
document.write( "\r\n" );
document.write( "[That is, an exponential with a negative exponent \r\n" );
document.write( "which is a numerator (denominator) or a factor \r\n" );
document.write( "thereof may be brought from the numerator(denominator) \r\n" );
document.write( "to the denominator (numerator), and the sign of the\r\n" );
document.write( "exponent changed to positive.]\r\n" );
document.write( "\r\n" );
document.write( "\"q%5E1%2Fp%5E3\" + \"q%5E1%2Fq%5E2\"\r\n" );
document.write( "  \r\n" );
document.write( "In the second fraction, we can divide top and bottom by q:\r\n" );
document.write( "\r\n" );
document.write( "\"q%5E1%2Fp%5E3\" + \"1%2Fq%5E1\"\r\n" );
document.write( "\r\n" );
document.write( "We can erase the 1 exponents\r\n" );
document.write( "\r\n" );
document.write( "\"q%2Fp%5E3\" + \"1%2Fq\"\r\n" );
document.write( "\r\n" );
document.write( "That is one form of the answer.  Or you can combine the\r\n" );
document.write( "fractions over the LCD of p³q\r\n" );
document.write( "\r\n" );
document.write( "\"%28q%5E2%2Bp%5E3%29%2F%28p%5E3q%29\"\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );