document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=151177>Question 151177</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. what is the product of (6x)squared and (2x) to the negative fourth power?<BR>\n" );
document.write( "2. the base of a triangle is 5xy to the third and the height is 3x squared y, what is the area of a triangle? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #111080 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=111080\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1. what is the product of (6x)squared and (2x) to the negative fourth power?<BR>\n" );
document.write( "2. the base of a triangle is 5xy to the third and the height is 3x squared y, what is the area of a triangle?<BR>\n" );
document.write( ".<BR>\n" );
document.write( "#1:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%286x%29%5E2+%2A+%282x%29%5E%28-4%29+ ALIGN=MIDDLE  ALT=\"+%286x%29%5E2+%2A+%282x%29%5E%28-4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "\"Power rules\" says that when you have a negative power, you could move it to the denominator to make it a positive power.  Thus:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%286x%29%5E2+%2F%282x%29%5E4+ ALIGN=MIDDLE  ALT=\"+%286x%29%5E2+%2F%282x%29%5E4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now, you can start reducing:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2836x%5E2%29+%2F%2816x%5E4%29+ ALIGN=MIDDLE  ALT=\"+%2836x%5E2%29+%2F%2816x%5E4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%289x%5E2%29+%2F%284x%5E4%29+ ALIGN=MIDDLE  ALT=\"+%289x%5E2%29+%2F%284x%5E4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%289%29+%2F%284x%5E2%29+ ALIGN=MIDDLE  ALT=\"+%289%29+%2F%284x%5E2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "#2:<BR>\n" );
document.write( "I believe you are saying:<BR>\n" );
document.write( "base is 5xy^3<BR>\n" );
document.write( "height is 3x^2y<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Area for any triangle is (1/2)bh<BR>\n" );
document.write( "where<BR>\n" );
document.write( "b is base<BR>\n" );
document.write( "h is height<BR>\n" );
document.write( ".<BR>\n" );
document.write( "So, now we have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F2%29bh+ ALIGN=MIDDLE  ALT=\"+%281%2F2%29bh+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F2%29%285xy%5E3%29%283x%5E2y%29+ ALIGN=MIDDLE  ALT=\"+%281%2F2%29%285xy%5E3%29%283x%5E2y%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F2%29%285xy%5E4%29%283x%5E2%29+ ALIGN=MIDDLE  ALT=\"+%281%2F2%29%285xy%5E4%29%283x%5E2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F2%29%285x%5E3y%5E4%29%283%29+ ALIGN=MIDDLE  ALT=\"+%281%2F2%29%285x%5E3y%5E4%29%283%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2815x%5E3y%5E4%29%2F2+ ALIGN=MIDDLE  ALT=\"+%2815x%5E3y%5E4%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Please write back if my assumptions were incorrect.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );