document.write( "Question 65366: simplify:
\n" ); document.write( "16x^5y^4
\n" ); document.write( " over
\n" ); document.write( "32xy^7
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #45908 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( " 16x5y4 \r\n" );
document.write( " 32xy7\r\n" );
document.write( "\r\n" );
document.write( "Give the exponent 1 to the letter x in the bottom\r\n" );
document.write( "\r\n" );
document.write( " 16x5y4 \r\n" );
document.write( " 32x1y7\r\n" );
document.write( "\r\n" );
document.write( "Cancel the 16 and the 32, putting 2\r\n" );
document.write( "below the 32 since 32÷16 = 2, and\r\n" );
document.write( "putting 1 above the 16, since 16÷16 = 1\r\n" );
document.write( "\r\n" );
document.write( "     1\r\n" );
document.write( " 16x5y4 \r\n" );
document.write( " 32x1y7\r\n" );
document.write( "     2\r\n" );
document.write( "\r\n" );
document.write( "So now you have\r\n" );
document.write( "\r\n" );
document.write( " 1x5y4 \r\n" );
document.write( " 2x1y7\r\n" );
document.write( "\r\n" );
document.write( "Now use the rule for subtracting exponents:\r\n" );
document.write( "\r\n" );
document.write( "When two exponential with the same base\r\n" );
document.write( "appear as a factor of the numerator and\r\n" );
document.write( "the denominator:\r\n" );
document.write( "\r\n" );
document.write( "Subtract the smaller exponent from the larger\r\n" );
document.write( "exponent and place \r\n" );
document.write( "\r\n" );
document.write( "(a) the resulting exponent with the common base\r\n" );
document.write( "in the numerator if that's where the larger \r\n" );
document.write( "exponent was previously and eliminate it from \r\n" );
document.write( "the denominator.   Or,\r\n" );
document.write( "\r\n" );
document.write( "(b) the resulting exponent with the common base\r\n" );
document.write( "in the denominator if that's where the larger \r\n" );
document.write( "exponent was previously and eliminate it from \r\n" );
document.write( "the numerator. \r\n" );
document.write( "\r\n" );
document.write( "So here we have a case of each\r\n" );
document.write( "\r\n" );
document.write( " 1x5y4 \r\n" );
document.write( " 2x1y7\r\n" );
document.write( "\r\n" );
document.write( "We subtract the exponent of x1 from the exponent \r\n" );
document.write( "of x5, and get x4, and we place x4 in the numerator\r\n" );
document.write( "because the larger exponent 5 was in the numerator,\r\n" );
document.write( "and we eliminate x from the denominator:\r\n" );
document.write( "\r\n" );
document.write( " 1x4y4 \r\n" );
document.write( " 2y7\r\n" );
document.write( "\r\n" );
document.write( "We subtract the exponent of y4 from the exponent \r\n" );
document.write( "of y7, and get y3, and we place y3 in the denominator\r\n" );
document.write( "because the larger exponent 7 was in the denominator,\r\n" );
document.write( "and we eliminate y from the numerator:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( " 1x4 \r\n" );
document.write( " 2y3\r\n" );
document.write( "\r\n" );
document.write( "Now we can erase the 1 coefficient in the top\r\n" );
document.write( "\r\n" );
document.write( "  x4 \r\n" );
document.write( " 2y3\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );