document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=572920>Question 572920</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What positive number is 3 times its cube root? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #368573 by </B><A HREF=/tutors/aboutme.mpl?userid=TutorDelphia><B>TutorDelphia(193)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TutorDelphia><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=TutorDelphia><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=368573\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You need to be pretty good with exponents to do this problem. \r<BR>\n" );
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document.write( "First let's write the problem in equation form:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=3n%5E%281%2F3%29 ALIGN=MIDDLE  ALT=\"n=3n%5E%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E%281%2F3%29 ALIGN=MIDDLE  ALT=\"n%5E%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E1%2Fn%5E%281%2F3%29=3 ALIGN=MIDDLE  ALT=\"n%5E1%2Fn%5E%281%2F3%29=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "use the exponent power rule to 1-1/3=2/3<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%5E%282%2F3%29=3 ALIGN=MIDDLE  ALT=\"n%5E%282%2F3%29=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Take both sides to the 3/2 power<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=3%5E%283%2F2%29 ALIGN=MIDDLE  ALT=\"n=3%5E%283%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "simplify this:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=sqrt%2827%29 ALIGN=MIDDLE  ALT=\"n=sqrt%2827%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "And to check, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A%2827%5E%281%2F2%29%29%5E%281%2F3%29 ALIGN=MIDDLE  ALT=\"3%2A%2827%5E%281%2F2%29%29%5E%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > =~5.196 and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2827%29 ALIGN=MIDDLE  ALT=\"sqrt%2827%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=~5.196\r<BR>\n" );
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document.write( "because both equal <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Asqrt%283%29 ALIGN=MIDDLE  ALT=\"3%2Asqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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