document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1024428>Question 1024428</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (16n^1/3/n)^-1/4+2n^1/6-n1/3 (Image it is confusing http://i.imgur.com/EOXiNTF.png) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #639916 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=639916\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> see the following worksheets:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2016/031102.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2016/031103.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "the graph of the original equation is shown below.\r<BR>\n" );
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document.write( "the equation is formed by setting the expression equal to y.\r<BR>\n" );
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document.write( "the variable of x was used in place of n for graphing purposes.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2016/031104.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "step 1 is the original equation.\r<BR>\n" );
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document.write( "step 2 simplifies it by utilizing the fact that (a*(b^c)/d)^e is equal to a^e * (b^c)^e / d^e.\r<BR>\n" );
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document.write( "step 3 simplifies it further by utilizing the fact that a^-b = 1/a^b and (a^b)^-c = 1/(a^b)^c.\r<BR>\n" );
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document.write( "step 4 simplifies it further by utilizing the fact that (a^b)^c = a^(b*c).\r<BR>\n" );
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document.write( "step 5 simplifies it further by utilizing that fact that (a^b)/a^c) = a^(b-c).\r<BR>\n" );
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document.write( "step 6 simplifies it further by performing the operation indicated in step 5.\r<BR>\n" );
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document.write( "step 7 turns the expression into an equation by setting it equal to 0.\r<BR>\n" );
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document.write( "step 8 multiplies both sides of the equation by 2.\r<BR>\n" );
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document.write( "step 9 combines like terms.\r<BR>\n" );
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document.write( "step 10 utilizes the fact that n^(1/3) is equivalent to (n^1/6)^2.\r<BR>\n" );
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document.write( "step 11 factors out the common term of n^(1/6).\r<BR>\n" );
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document.write( "step 12 sets the first factor equal to 0 and solves for n to get n = 0.\r<BR>\n" );
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document.write( "step 14 sets the second factor equal to 0 and solves for n to get n = 244.140625.\r<BR>\n" );
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document.write( "the graph of the original equation confirms the solution is correct.\r<BR>\n" );
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