document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=200348>Question 200348</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write the expression below in radical notation.\r<BR>\n" );
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document.write( "4y^(-4/7) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #150637 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=150637\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 4y^{-\frac{4}{7}}=4\ast\sqrt[7]{y^{-4}}=4\ast\sqrt[7]{\frac{1}{y^{4}}}=\frac{4}{\sqrt[7]{y^{4}}}\">\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 4y^{-\frac{4}{7}}=\frac{4}{\sqrt[7]{y^{4}}}\"> where <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y>0\">\r<BR>\n" );
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document.write( "--------------------------------------------------------------------\r<BR>\n" );
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document.write( "Edit: The next solution is correct in saying that you should rationalize the denominator (forgot all about that...); however, he went about rationalizing the denominator in the wrong way.\r<BR>\n" );
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document.write( "To rationalize the denominator of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{4}{\sqrt[7]{y^{4}}}\">, you need to multiply both the numerator and denominator by 6 copies of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \sqrt[7]{y^{4}}\">. This way, you'll end up with\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{4\ast\left(\sqrt[7]{y^{4}}\right)^6}{\left(\sqrt[7]{y^{4}}\right)^7}\">\r<BR>\n" );
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document.write( "which will simplify to \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{4\ast\sqrt[7]{y^{3}}}{y}\">\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 4y^{-\frac{4}{7}}= \frac{4\ast\sqrt[7]{y^{3}}}{y}\"> where <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y>0\">\r<BR>\n" );
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document.write( "Note: I skipped a bunch of steps. Let me know if you need to see them. Also, you can verify your answer by graphing the original expression and the final expression. </SPAN>\n" );
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