document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=414466>Question 414466</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve its multiply or divide the radical expressions answer should be written as a simplified radical  the third root of q-1 over the fourth root of q-1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #290695 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=290695\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=”Garamond” size=”+2”>\r<BR>\n" );
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document.write( "You have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE\ \ \ \ \ \ \ \ \ \ \frac{\sqrt[3]{q\ -\ 1}}{\sqrt[4]{q\ -\ 1}}\"> \r<BR>\n" );
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document.write( "The easiest way to do this so it is clearly understandable is to write the roots as rational exponents, thus:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE\ \ \ \ \ \ \ \ \ \ \frac{\left(q\ -\ 1\right)^{\frac{1}{3}}}{\left(q\ -\ 1\right)^{\frac{1}{4}}}\">\r<BR>\n" );
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document.write( "Then recall the law of exponents that says:  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{a^m}{a^n}\ =\ a^{m\,-\,n}\">\r<BR>\n" );
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document.write( "Calculate <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{1}{3}\ -\ \frac{1}{4}\ =\ \frac{1}{12}\">.\r<BR>\n" );
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document.write( "So:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE\ \ \ \ \ \ \ \ \ \ \frac{\sqrt[3]{q\ -\ 1}}{\sqrt[4]{q\ -\ 1}}\ =\ \left(q\ -\ 1\right)^{\frac{1}{12}}\ =\ \sqrt[12]{q\ -\ 1}\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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