document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=148092>Question 148092</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (y^(3/4)/y^(-1/2))^8\r<BR>\n" );
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document.write( "I think the top number is x^6 and the bottom number is y^-4. How do I simplify that even more because you can't have a negative number. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #108486 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=108486\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E%28-1%2F2%29 ALIGN=MIDDLE  ALT=\"y%5E%28-1%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, you can rewrite this as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E%28-1%2F2%29=1%2Fy%5E%281%2F2%29 ALIGN=MIDDLE  ALT=\"y%5E%28-1%2F2%29=1%2Fy%5E%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "If  you have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fy%5E%28-1%2F2%29 ALIGN=MIDDLE  ALT=\"1%2Fy%5E%28-1%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, you can rewrite this as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fy%5E%28-1%2F2%29=y%5E%281%2F2%29%2F1=y%5E%281%2F2%29 ALIGN=MIDDLE  ALT=\"1%2Fy%5E%28-1%2F2%29=y%5E%281%2F2%29%2F1=y%5E%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "So to rewrite a term with a positive exponent, simply flip the fraction.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5E%283%2F4%29%2Fy%5E%28-1%2F2%29%29%5E8 ALIGN=MIDDLE  ALT=\"%28y%5E%283%2F4%29%2Fy%5E%28-1%2F2%29%29%5E8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5E%283%2F4%29y%5E%281%2F2%29%29%5E8 ALIGN=MIDDLE  ALT=\"%28y%5E%283%2F4%29y%5E%281%2F2%29%29%5E8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Flip the fraction <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fy%5E%28-1%2F2%29 ALIGN=MIDDLE  ALT=\"1%2Fy%5E%28-1%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E%281%2F2%29 ALIGN=MIDDLE  ALT=\"y%5E%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5E%283%2F4%2B1%2F2%29%29%5E8 ALIGN=MIDDLE  ALT=\"%28y%5E%283%2F4%2B1%2F2%29%29%5E8\"   DISABLED_style= \"max-width:90%; height:auto;\" > When you multiply monomials with a common base, you simply add the exponents.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5E%285%2F4%29%29%5E8 ALIGN=MIDDLE  ALT=\"%28y%5E%285%2F4%29%29%5E8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E%28%285%2F4%298%29 ALIGN=MIDDLE  ALT=\"y%5E%28%285%2F4%298%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the inner and outer exponent.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E%2840%2F4%29 ALIGN=MIDDLE  ALT=\"y%5E%2840%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E%2810%29 ALIGN=MIDDLE  ALT=\"y%5E%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5E%283%2F4%29%2Fy%5E%28-1%2F2%29%29%5E8 ALIGN=MIDDLE  ALT=\"%28y%5E%283%2F4%29%2Fy%5E%28-1%2F2%29%29%5E8\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E%2810%29 ALIGN=MIDDLE  ALT=\"y%5E%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5E%283%2F4%29%2Fy%5E%28-1%2F2%29%29%5E8=y%5E%2810%29 ALIGN=MIDDLE  ALT=\"%28y%5E%283%2F4%29%2Fy%5E%28-1%2F2%29%29%5E8=y%5E%2810%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3E0 ALIGN=MIDDLE  ALT=\"y%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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