document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=43526>Question 43526</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you tell me if I have simplified this equation correctly?\r<BR>\n" );
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document.write( "(9y^2/(x^-8*y^0))^1/2\r<BR>\n" );
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document.write( "I first found that y^0 = 1. So that would drop out of the equation.  <BR>\n" );
document.write( "Then I thought that raising to the 1/2 is the same as taking the square root of the equation. <BR>\n" );
document.write( "So I now have the square root of 9y^2 / square root of x^-8.<BR>\n" );
document.write( "The square root of 9y^2 is 3y.  So I now have 3y/square root of x^-8.<BR>\n" );
document.write( "I think that a negative exponent is the reciprocal of the positive so I now have 3y * square root of x^8.  And x^8 is x^4 * x^4.  So if I take the square root of x^4 is x^2.  So I ended up with 3y*2x^2.  Is that right?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #28530 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=28530\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's see...you want to simplify:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289y%5E2%2F%28x%5E%28-8%29%2Ay%5E0%29%29%5E%281%2F2%29 ALIGN=MIDDLE  ALT=\"%289y%5E2%2F%28x%5E%28-8%29%2Ay%5E0%29%29%5E%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Your first step is correct:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E0+=+1 ALIGN=MIDDLE  ALT=\"y%5E0+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so now yu have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289y%5E2%2Fx%5E-8%29%5E%281%2F2%29 ALIGN=MIDDLE  ALT=\"%289y%5E2%2Fx%5E-8%29%5E%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Your second statement is also correct:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%281%2F2%29+=+sqrt%28x%29 ALIGN=MIDDLE  ALT=\"x%5E%281%2F2%29+=+sqrt%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "So now you want to multiply the internal exponents by the external exponent:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289%5E%281%2F2%29%2A%28y%5E2%29%5E%281%2F2%29%29%2F%28x%5E-8%29%5E%281%2F2%29 ALIGN=MIDDLE  ALT=\"%289%5E%281%2F2%29%2A%28y%5E2%29%5E%281%2F2%29%29%2F%28x%5E-8%29%5E%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify this. For the numerator:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%5E%281%2F2%29+=+sqrt%289%29 ALIGN=MIDDLE  ALT=\"9%5E%281%2F2%29+=+sqrt%289%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 3 and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5E2%29%5E%281%2F2%29+=+sqrt%28y%5E2%29 ALIGN=MIDDLE  ALT=\"%28y%5E2%29%5E%281%2F2%29+=+sqrt%28y%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = y<BR>\n" );
document.write( "And for the denominator: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E%28-8%29%29%5E%281%2F2%29+=+x%5E%28-4%29 ALIGN=MIDDLE  ALT=\"%28x%5E%28-8%29%29%5E%281%2F2%29+=+x%5E%28-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y%2Fx%5E-4 ALIGN=MIDDLE  ALT=\"3y%2Fx%5E-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now bring the denominator up and change the sign of the exponent.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E4y ALIGN=MIDDLE  ALT=\"3x%5E4y\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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