document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=578449>Question 578449</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve the below algebra problem. The problem should read x to the 3/2 power=125... I tried to set up the problem the best way I could. Thank you :)\r<BR>\n" );
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document.write( "x^3/2=125 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #370650 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=370650\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^(3/2)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%283%2F2%29=x%5E1.5=125 ALIGN=MIDDLE  ALT=\"x%5E%283%2F2%29=x%5E1.5=125\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The beauty of rational exponents is that they were defined so that the same properties for integer exponents that you knew still hold true. You do not even have to think of the fact that they could be written as roots.<BR>\n" );
document.write( "The problem with those fractional exponents is that often I cannot get them to show properly in this website.<BR>\n" );
document.write( "I we raise to the exponent 2/3 both sides of that equation, we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E%283%2F2%29%29%5E%282%2F3%29=+125%5E%282%2F3%29 ALIGN=MIDDLE  ALT=\"%28x%5E%283%2F2%29%29%5E%282%2F3%29=+125%5E%282%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%28%283%2F2%29%282%2F3%29%29=125%5E%282%2F3%29 ALIGN=MIDDLE  ALT=\"x%5E%28%283%2F2%29%282%2F3%29%29=125%5E%282%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK, I mean x^((3/2)(2/3))=125^(2/3)<BR>\n" );
document.write( "Of course, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F2%29%282%2F3%29=1 ALIGN=MIDDLE  ALT=\"%283%2F2%29%282%2F3%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so the equation simplifies to<BR>\n" );
document.write( "x^1=125^(2/3) or x=125^(2/3)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C125%5E2%29%5E2=%28root%283%2C125%29%29%5E2 ALIGN=MIDDLE  ALT=\"root%283%2C125%5E2%29%5E2=%28root%283%2C125%29%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That may look complicated, but <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=125=5%5E3 ALIGN=MIDDLE  ALT=\"125=5%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=125%5E%282%2F3%29=%285%5E3%29%5E%282%2F3%29=5%5E%283%2A%282%2F3%29%29=5%5E2=25 ALIGN=MIDDLE  ALT=\"125%5E%282%2F3%29=%285%5E3%29%5E%282%2F3%29=5%5E%283%2A%282%2F3%29%29=5%5E2=25\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=25%29 ALIGN=MIDDLE  ALT=\"highlight%28x=25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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