document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1208448>Question 1208448</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Factor the given expression. Express your answer so that only positive exponents occur.\r<BR>\n" );
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document.write( "8x^(1/3) - 4x^(-2/3), where x cannot be 0.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #846868 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</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=846868\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8x%5E%281%2F3%29-4x%5E%28-2%2F3%29 ALIGN=MIDDLE  ALT=\"8x%5E%281%2F3%29-4x%5E%28-2%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The smallest power of x is -2/3, so factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%28-2%2F3%29 ALIGN=MIDDLE  ALT=\"x%5E%28-2%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > out of both terms.<br><BR>\n" );
document.write( "And both terms have a constant factor of 4, so factor that out also.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%5E%28-2%2F3%29%29%282x-1%29 ALIGN=MIDDLE  ALT=\"%284x%5E%28-2%2F3%29%29%282x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Then, since the instructions say to express the result using only positive exponents, move the negative exponent from the numerator to the denominator.<br><BR>\n" );
document.write( "ANSWER: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284%282x-1%29%29%2F%28x%5E%282%2F3%29%29 ALIGN=MIDDLE  ALT=\"%284%282x-1%29%29%2F%28x%5E%282%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
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