document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=180130>Question 180130</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify -(8a^3/27)-4/3 (this is an exponent-4/3)(so is the three)This problem isnt' in a book! please help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #135017 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=135017\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28%288a%5E3%29%2F%2827%29%29%5E%28-4%2F3%29 ALIGN=MIDDLE  ALT=\"-%28%288a%5E3%29%2F%2827%29%29%5E%28-4%2F3%29\"   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=-%2827%2F%288a%5E3%29%29%5E%284%2F3%29 ALIGN=MIDDLE  ALT=\"-%2827%2F%288a%5E3%29%29%5E%284%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Flip the fraction to make the exponent positive\r<BR>\n" );
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document.write( "Note: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Fb%29%5E%28-2%29=%28b%2Fa%29%5E2 ALIGN=MIDDLE  ALT=\"%28a%2Fb%29%5E%28-2%29=%28b%2Fa%29%5E2\"   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=-%28root%283%2C27%2F%288a%5E3%29%29%29%5E4 ALIGN=MIDDLE  ALT=\"-%28root%283%2C27%2F%288a%5E3%29%29%29%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Convert to radical notation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%28root%283%2C27%29%2Froot%283%2C8a%5E3%29%29%5E4 ALIGN=MIDDLE  ALT=\"-%28root%283%2C27%29%2Froot%283%2C8a%5E3%29%29%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the root.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%283%2Froot%283%2C8a%5E3%29%29%5E4 ALIGN=MIDDLE  ALT=\"-%283%2Froot%283%2C8a%5E3%29%29%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the cube root of 27 to get 3\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-%283%2F%282a%29%29%5E4 ALIGN=MIDDLE  ALT=\"-%283%2F%282a%29%29%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the cube root of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8a%5E3 ALIGN=MIDDLE  ALT=\"8a%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a ALIGN=MIDDLE  ALT=\"2a\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Note: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282a%29%5E3=2%5E3%2Aa%5E3=8a%5E3 ALIGN=MIDDLE  ALT=\"%282a%29%5E3=2%5E3%2Aa%5E3=8a%5E3\"   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=-3%5E4%2F%282a%29%5E4 ALIGN=MIDDLE  ALT=\"-3%5E4%2F%282a%29%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute the outer exponent\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-81%2F%282a%29%5E4 ALIGN=MIDDLE  ALT=\"-81%2F%282a%29%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Raise 3 to the 4th power to get 81\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-81%2F%2816a%5E4%29 ALIGN=MIDDLE  ALT=\"-81%2F%2816a%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Raise <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2a ALIGN=MIDDLE  ALT=\"2a\"   DISABLED_style= \"max-width:90%; height:auto;\" > to the 4th power to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16a%5E4 ALIGN=MIDDLE  ALT=\"16a%5E4\"   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=-%28%288a%5E3%29%2F%2827%29%29%5E%28-4%2F3%29=-81%2F%2816a%5E4%29 ALIGN=MIDDLE  ALT=\"-%28%288a%5E3%29%2F%2827%29%29%5E%28-4%2F3%29=-81%2F%2816a%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%3E0 ALIGN=MIDDLE  ALT=\"a%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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