document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=93751>Question 93751</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If a and b are positive integers and (a^1/2 b^1/3)^6 = 432, what is the value of ab? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #68340 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=68340\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If a and b are positive integers and (a^1/2 b^1/3)^6 = 432, what is the value of ab?<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%5E%281%2F2%29%2Ab%5E%281%2F3%29%29%5E6 ALIGN=MIDDLE  ALT=\"%28a%5E%281%2F2%29%2Ab%5E%281%2F3%29%29%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 432<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%5E%286%2F2%29%2Ab%5E%286%2F3%29%29 ALIGN=MIDDLE  ALT=\"%28a%5E%286%2F2%29%2Ab%5E%286%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 432<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E3+%2A+b%5E2 ALIGN=MIDDLE  ALT=\"a%5E3+%2A+b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 432<BR>\n" );
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document.write( "Checking for some suitable factors of 432, we come up with<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E3+%2A+b%5E2 ALIGN=MIDDLE  ALT=\"a%5E3+%2A+b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 27 * 16<BR>\n" );
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document.write( "if a = 3; 3^3 = 27<BR>\n" );
document.write( "and<BR>\n" );
document.write( "if b = 4; 4^2 = 16<BR>\n" );
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document.write( "a*b = 12<BR>\n" );
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document.write( "There may be a more orthodox way to do this, but I can't seem to come up with it today. </SPAN>\n" );
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