document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1202590>Question 1202590</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Let the function h be defined by h(x) = (1/k) * x^k for some<BR>\n" );
document.write( "non-zero constant k. If h(1/3) = (1/3)^4 then what is the<BR>\n" );
document.write( "value of k?\r<BR>\n" );
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document.write( "(A) 3<BR>\n" );
document.write( "(B) 1/3<BR>\n" );
document.write( "(C) 4<BR>\n" );
document.write( "(D) 1/4<BR>\n" );
document.write( "(E) 3/4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #837509 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=837509\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "If this were a problem on a test, probably the fastest path to the answer would be to try the answer choices to see which one works.<br><BR>\n" );
document.write( "Using formal algebra, or rather just logical reasoning....<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%281%2F3%29=%281%2Fk%29%281%2F3%29%5Ek=%281%2F3%29%5E4 ALIGN=MIDDLE  ALT=\"h%281%2F3%29=%281%2Fk%29%281%2F3%29%5Ek=%281%2F3%29%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Since the right hand side is a pure exponential, the only way the left hand side can be equal to the right hand side is if k is 3:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%281%2F3%29=%281%2F3%29%281%2F3%29%5E3=%281%2F3%29%5E4 ALIGN=MIDDLE  ALT=\"h%281%2F3%29=%281%2F3%29%281%2F3%29%5E3=%281%2F3%29%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Yes, it works.<br><BR>\n" );
document.write( "ANSWER: (A) 3<br><BR>\n" );
document.write( " </SPAN>\n" );
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