document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=30441>Question 30441</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ok, it just looks like all the help I've seen is too advanced to help me with this... here's the problem...  (a^3 b^-6)^1/2.. I know this has to be simple, but I've been wracking my brain trying to figure it out.\r<BR>\n" );
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document.write( "Thanks!\r<BR>\n" );
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document.write( "Charity </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #17081 by </B><A HREF=/tutors/aboutme.mpl?userid=Cintchr><B>Cintchr(481)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cintchr><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=17081\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> there are several ways to do this.  first, ^1/2 means the same as square root.  for this it would be just as easy to do the root first ... as it would be to distribte the power and then root it out.  I will show you both.<BR>\n" );
document.write( "Root first:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28a%5E3b%5E-6%29%5E%281%2F2%29+ ALIGN=MIDDLE  ALT=\"+%28a%5E3b%5E-6%29%5E%281%2F2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt+%28a%5E3b%5E-6%29+ ALIGN=MIDDLE  ALT=\"+sqrt+%28a%5E3b%5E-6%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > make the b power's value positive.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt+%28%28a%5E3%29%2F%28b%5E6%29%29+ ALIGN=MIDDLE  ALT=\"+sqrt+%28%28a%5E3%29%2F%28b%5E6%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > break into separate roots<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28sqrt+%28a%5E3%29%29%2F%28sqrt%28b%5E6%29%29+ ALIGN=MIDDLE  ALT=\"+%28sqrt+%28a%5E3%29%29%2F%28sqrt%28b%5E6%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > root out the numerator<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%28sqrt+%28a%29%29%2F%28sqrt%28b%5E6%29%29+ ALIGN=MIDDLE  ALT=\"+a%28sqrt+%28a%29%29%2F%28sqrt%28b%5E6%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > root out the denominator<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%28sqrt+%28a%29%29%2Fb%5E3+ ALIGN=MIDDLE  ALT=\"+a%28sqrt+%28a%29%29%2Fb%5E3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now ... lets work it by distributing the ^1/2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28a%5E3b%5E-6%29%5E%281%2F2%29+ ALIGN=MIDDLE  ALT=\"+%28a%5E3b%5E-6%29%5E%281%2F2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > distribute to the a<BR>\n" );
document.write( "this will give a fractional exponent<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%5E%283%2F2%29b%5E%28-3%29+ ALIGN=MIDDLE  ALT=\"+a%5E%283%2F2%29b%5E%28-3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > distribute to the b and reduce the fraction<BR>\n" );
document.write( "If working with fractional exponents, stop here ... if the simplified form is to be in radicals .... work the a value.<BR>\n" );
document.write( "^3/2 is the same as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sqrt+%28a%5E3%29+ ALIGN=MIDDLE  ALT=\"+sqrt+%28a%5E3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%28sqrt+%28a%29%29b%5E%28-3%29+ ALIGN=MIDDLE  ALT=\"+a%28sqrt+%28a%29%29b%5E%28-3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > deal with the negative exponent on the b<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a%28sqrt+%28a%29%29%2Fb%5E3+ ALIGN=MIDDLE  ALT=\"+a%28sqrt+%28a%29%29%2Fb%5E3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Both work.  There are many ways to come about the same answer.<BR>\n" );
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