document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=562470>Question 562470</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 8 to what power is 1/16th? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #364583 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=364583\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 8 to what power is 1/16th?<BR>\n" );
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document.write( "1/16 (not 1/16th) = 2^-4<BR>\n" );
document.write( "8 = 2^3 --> 2 = 8^(1/3)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%5E%281%2F3%29%29-4+=+1%2F16 ALIGN=MIDDLE  ALT=\"%288%5E%281%2F3%29%29-4+=+1%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%5E%28-4%2F3%29+=+1%2F16 ALIGN=MIDDLE  ALT=\"8%5E%28-4%2F3%29+=+1%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "You can use logs and the base change formula:<BR>\n" );
document.write( "----<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%5Ex+=+1%2F16 ALIGN=MIDDLE  ALT=\"8%5Ex+=+1%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x*log(8) = log(1/16)<BR>\n" );
document.write( "x = log(1/16)/log(8)<BR>\n" );
document.write( "x = -4/3<BR>\n" );
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