document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=36544>Question 36544</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify (8/27)^-2/3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #22467 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=22467\">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=+%288%2F27%29%5E%28-2%2F3%29 ALIGN=MIDDLE  ALT=\"+%288%2F27%29%5E%28-2%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "When raising a number to a fractional power, the denominator of the exponent ALWAYS gives the index of the radical, and the numberator of the exponent always gives the power that you raise it to.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%29%5E%28m%2Fn%29 ALIGN=MIDDLE  ALT=\"+%28x%29%5E%28m%2Fn%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28root%28n%2Cx%29%29%5Em+ ALIGN=MIDDLE  ALT=\"+%28root%28n%2Cx%29%29%5Em+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In this case, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%288%2F27%29%5E%28-2%2F3%29 ALIGN=MIDDLE  ALT=\"+%288%2F27%29%5E%28-2%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28root%283%2C%288%2F27%29%29%29%5E-2 ALIGN=MIDDLE  ALT=\"+%28root%283%2C%288%2F27%29%29%29%5E-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Of course, the cube root of 8 is 2, and the cube root of 27 is 3, so you have:<BR>\n" );
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document.write( "Now, when you have a fraction raised to a negative power, it means to invert the fraction.  The fact that it is a -2 power, means you must INVERT the fraction, and SQUARE it.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27%2F8 ALIGN=MIDDLE  ALT=\"27%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "R^2 at SCC </SPAN>\n" );
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