document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=966121>Question 966121</A>: <I><SPAN STYLE=\"word-break: break-all;\"> use positive exponents.show all wok\r<BR>\n" );
document.write( "\n" );
document.write( "30x^6y^2<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "45x^-1y\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Top part is the numerator<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "bottom is denominator. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #590515 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=590515\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the multiplication symbols have been inserted where i think they belong.<BR>\n" );
document.write( "this makes it easiwer to see what's going on from my perspective.<BR>\n" );
document.write( "you are free to put them in or take them out at your discretion.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "30*x^6*y^2<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "45*x^-1*y \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the x^-1 in the denominator goes to the numerator and becomes x^1 which becomes x.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the expression becomes:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "30*x^6*y^2*x<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "45*y \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x^6 * x in the numerator becomes x^7.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the expression becomes:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "30*x^7*y^2<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "45*y \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "y^2 in the numerator divided by y in the denominator becomes y^1 in the numerator which becomes y.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the expression becomes:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "30*x^7*y<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "45\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "30 in the numerator divided by 45 in the denominator simplifies to 2 in the numerator divided by 3 in the denominator.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the expression becomes:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2*x^7*y<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you can confirm that you did it correctly by giving any value to x and any value to y and then evaluatiing the original equation and the final equation to see if the answers are the same.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "i used x = 5 and y = 9\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "from the original equation, i get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "30*x^6*y^2<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "45*x^-1*y \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "becomes:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "30*5^6*9^2<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "45*5^-1*9 \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "this evaluates to 37968750 / 81 which becomes 468750.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "from the final equation, i get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2*x^7*y<BR>\n" );
document.write( "------<BR>\n" );
document.write( "3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "becomes:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2*5^7*9<BR>\n" );
document.write( "------<BR>\n" );
document.write( "3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "this evaluates to 1406250 / 3 which becomes 468750.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the original equation and the final equation give me the same answer, so i assume that i did the simplification correctly.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "your solution is:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2*x^7*y<BR>\n" );
document.write( "------<BR>\n" );
document.write( "3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "this can also be shown as:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "2x^7y<BR>\n" );
document.write( "------<BR>\n" );
document.write( "3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );