document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=214121>Question 214121</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. Simplify and write the expression below using positive exponents only. <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 #161723 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=161723\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Recall that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%28-1%29=1%2Fx%5E1=1%2Fx ALIGN=MIDDLE  ALT=\"x%5E%28-1%29=1%2Fx%5E1=1%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%28-2%29=1%2Fx%5E2 ALIGN=MIDDLE  ALT=\"x%5E%28-2%29=1%2Fx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. In other words, to rewrite an expression with positive exponents, just flip the base.\r<BR>\n" );
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document.write( "So in this case <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=u%5E%28-3%29=1%2Fu%5E3 ALIGN=MIDDLE  ALT=\"u%5E%28-3%29=1%2Fu%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2u%5E%28-3%29v%5E2=2%281%2Fu%5E3%29v%5E2=%282v%5E2%29%2Fu%5E3 ALIGN=MIDDLE  ALT=\"2u%5E%28-3%29v%5E2=2%281%2Fu%5E3%29v%5E2=%282v%5E2%29%2Fu%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282u%5E%28-3%29v%5E2%29%5E%28-2%29=%28%282v%5E2%29%2Fu%5E3%29%5E%28-2%29 ALIGN=MIDDLE  ALT=\"%282u%5E%28-3%29v%5E2%29%5E%28-2%29=%28%282v%5E2%29%2Fu%5E3%29%5E%28-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now flip the fraction to make the outer exponent positive: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282v%5E2%29%2Fu%5E3%29%5E%28-2%29=%28%28u%5E3%29%2F%282v%5E2%29%29%5E2 ALIGN=MIDDLE  ALT=\"%28%282v%5E2%29%2Fu%5E3%29%5E%28-2%29=%28%28u%5E3%29%2F%282v%5E2%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now simplify to get: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28u%5E3%29%2F%282v%5E2%29%29%5E2=%28u%5E6%29%2F%284v%5E4%29 ALIGN=MIDDLE  ALT=\"%28%28u%5E3%29%2F%282v%5E2%29%29%5E2=%28u%5E6%29%2F%284v%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282u%5E%28-3%29v%5E2%29%5E%28-2%29=%28u%5E6%29%2F%284v%5E4%29 ALIGN=MIDDLE  ALT=\"%282u%5E%28-3%29v%5E2%29%5E%28-2%29=%28u%5E6%29%2F%284v%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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