document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=536248>Question 536248</A>: <I><SPAN STYLE=\"word-break: break-all;\"> fourth root (27 y^3)/ fourth root (8 x^7)\r<BR>\n" );
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document.write( "rationalize the denominator and simplify </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #352226 by </B><A HREF=/tutors/aboutme.mpl?userid=fcabanski><B>fcabanski(1391)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fcabanski><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=352226\">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=root%284%2C+27y%5E3%29%2Froot%284%2C+8x%5E7%29 ALIGN=MIDDLE  ALT=\"root%284%2C+27y%5E3%29%2Froot%284%2C+8x%5E7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
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document.write( "To rationalize the denominator, multiply by 1 in the form of denominator/denominator.  Any number over itself is 1, and 1 times anything is the thing itself.<P><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%284%2C+27y%5E3%29%2Froot%284%2C+8x%5E7%29%2Aroot%284%2C+8x%5E7%29%2Froot%284%2C+8x%5E7%29=root%284%2C+216x%5E7y%5E3%29%2F8x%5E7 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >  <P><BR>\n" );
document.write( "Anything that's raised to the 4th power can be pulled out of the 4th root.  <P><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E7=x%5E4x%5E3 ALIGN=MIDDLE  ALT=\"x%5E7=x%5E4x%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >  So it becomes  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%284%2C+216x%5E4x%5E3y%5E3%29%2F8x%5E7+=+x%2Aroot%284%2C+216x%5E3y%5E3%29%2F8x%5E7 ALIGN=MIDDLE  ALT=\"root%284%2C+216x%5E4x%5E3y%5E3%29%2F8x%5E7+=+x%2Aroot%284%2C+216x%5E3y%5E3%29%2F8x%5E7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><P><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > cancels with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E7 ALIGN=MIDDLE  ALT=\"x%5E7\"   DISABLED_style= \"max-width:90%; height:auto;\" > to leave <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E6 ALIGN=MIDDLE  ALT=\"x%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" > on the bottom.<P><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%284%2C216x%5E3y%5E3%29%2F8x%5E6 ALIGN=MIDDLE  ALT=\"root%284%2C216x%5E3y%5E3%29%2F8x%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "my email address.</B><P> </SPAN>\n" );
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