document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=561856>Question 561856</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following expression to find the unknown value:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+16%5E%282-n%29=%281%2F4%29%5E%28n%2B1%29 ALIGN=MIDDLE  ALT=\"+16%5E%282-n%29=%281%2F4%29%5E%28n%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I have been struggling on this for about an hour with no success. So far i have been attempting to re-arrange the expression, but always hit a dead end. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #364566 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=364566\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 16^(2-n)=(1/4)^(n+1)<BR>\n" );
document.write( "(2^4)^(2-n)=(4^-1)^(n+1)<BR>\n" );
document.write( "2^(8-4n)=4^(-n-1)<BR>\n" );
document.write( "2^(8-4n)=4^(-n-1)<BR>\n" );
document.write( "2^(8-4n)=2^2^(-n-1)<BR>\n" );
document.write( "2^(8-4n)=2^(-2n-2)<BR>\n" );
document.write( "8-4n=-2n-2<BR>\n" );
document.write( "2n=10<BR>\n" );
document.write( "n=5<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "16^(2-n)=16^-3=.00024414..<BR>\n" );
document.write( "(1/4)^(n+1)=.25^6=.00024414.. </SPAN>\n" );
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