document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=152886>Question 152886</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ok this is my problem. Since I don't have a \"radical\" key on my computer, I'm going to type it the way it would be said. Its 81x to the 4th, y to the 20th, all under a radical, raised to the 4th power.  Help would be greatly appreciated ...I can't remember how to do these kinds of problems at all. thank you, sarah. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #112355 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=112355\">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%2C81x%5E4y%5E%2820%29%29 ALIGN=MIDDLE  ALT=\"root%284%2C81x%5E4y%5E%2820%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left(81x^4y^{20}\right)^{\frac{1}{4}}\"> Rewrite the radical expression into exponential form.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left(\left(81\right)^1x^4y^{20}\right)^{\frac{1}{4}}\"> Rewrite <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 81\"> as <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left(81\right)^1\">.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left(81\right)^{\left(1\right)\left(\frac{1}{4}\right)}x^{\left(4\right)\left(\frac{1}{4}\right)}y^{\left(20\right)\left(\frac{1}{4}\right)}\"> Multiply the outer exponent by each of the inner exponents.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left(81\right)^{\frac{1}{4}}x^{\frac{4}{4}}y^{\frac{20}{4}}\"> Multiply the exponents.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left(81\right)^{\frac{1}{4}}x^{1}y^{5}\"> Reduce.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%284%2C81%29%28xy%5E5%29 ALIGN=MIDDLE  ALT=\"root%284%2C81%29%28xy%5E5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Convert back to radical notation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3xy%5E5 ALIGN=MIDDLE  ALT=\"3xy%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the fourth root of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 81\"> to get <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 3\">\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%284%2C81x%5E4y%5E%2820%29%29=3xy%5E5 ALIGN=MIDDLE  ALT=\"root%284%2C81x%5E4y%5E%2820%29%29=3xy%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" > where every variable is positive. </SPAN>\n" );
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