document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=18363>Question 18363</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,<BR>\n" );
document.write( " Can anyone explain the mathematical rule behind this derivation:<BR>\n" );
document.write( "x^2 is proportional to Y^3<BR>\n" );
document.write( "so <BR>\n" );
document.write( "x is proportional to Y^3/2.\r<BR>\n" );
document.write( "\n" );
document.write( "In the above rule the exponent 2 is being moved from one side of the derivation to the other and becomes 3/2.How? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #8799 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=8799\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You can write proportions as an equation if you use an arbitrary constant of proportionality (k).\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+=+ky%5E3 ALIGN=MIDDLE  ALT=\"x%5E2+=+ky%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the square root of both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%29%5E%281%2F2%29+=+k%28y%5E3%29%5E%281%2F2%29 ALIGN=MIDDLE  ALT=\"%28x%5E2%29%5E%281%2F2%29+=+k%28y%5E3%29%5E%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify; Multiply the exponents.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+k%28y%5E%283%2F2%29%29 ALIGN=MIDDLE  ALT=\"x+=+k%28y%5E%283%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Therefore:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > is proportional to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E%283%2F2%29 ALIGN=MIDDLE  ALT=\"y%5E%283%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );