document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1060409>Question 1060409</A>: <I><SPAN STYLE=\"word-break: break-all;\">  <BR>\n" );
document.write( "please simplify the expression   (4t)^-2 t^0/t^6v^-8\r<BR>\n" );
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document.write( "                  Thank you.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #804065 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=804065\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "There are dozens of different paths for simplifying this expression. The other tutor has shown one perfectly good path.<br><BR>\n" );
document.write( "I prefer to get rid of the negative exponents immediately; that avoids having fractions within the fraction -- e.g., <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%284x%29%5E2+=+1%2F16x%5E2 ALIGN=MIDDLE  ALT=\"1%2F%284x%29%5E2+=+1%2F16x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > in the numerator of the expression.  So my path to the simplified expression would look something like this:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284t%29%5E%28-2%29+t%5E0%2F%28t%5E6v%5E%28-8%29%29 ALIGN=MIDDLE  ALT=\"%284t%29%5E%28-2%29+t%5E0%2F%28t%5E6v%5E%28-8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  -->  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t%5E0v%5E8%2F%28%284t%29%5E2%28t%5E6%29%29 ALIGN=MIDDLE  ALT=\"t%5E0v%5E8%2F%28%284t%29%5E2%28t%5E6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  -->  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%29v%5E8%2F%28%2816t%5E2%29%28t%5E6%29%29 ALIGN=MIDDLE  ALT=\"%281%29v%5E8%2F%28%2816t%5E2%29%28t%5E6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  -->  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=v%5E8%2F16t%5E8 ALIGN=MIDDLE  ALT=\"v%5E8%2F16t%5E8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Try simplifying expressions like this in different ways and find the way that you find easiest for you.<br>\r<BR>\n" );
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