document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=95673>Question 95673</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, can you please help me? The directions say to simplify the xpression involving rational exponents. Assume all variables represent positive real numbers. Write the answer with positive exponents. \r<BR>\n" );
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document.write( "(x^2y^-3z)^1/2<BR>\n" );
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document.write( "x^1/2yz^-1/2\r<BR>\n" );
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document.write( "Thank you for your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #69686 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=69686\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (x^2y^-3z)^1/2<BR>\n" );
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document.write( "x^1/2yz^-1/2 \r<BR>\n" );
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document.write( "= [x y^(-3/2)z^(1/2)] / [x^(1/2) y z^(-1/2)]\r<BR>\n" );
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document.write( "Look at the x factors: x^1/x^(1/2) = x^(1/2)<BR>\n" );
document.write( "Look at the y factors: y^(-3/2)/y^1 = 1/y(5/2)<BR>\n" );
document.write( "Look at the z factors: z^(1/2)/z^(-1/2) = z<BR>\n" );
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document.write( "Result; [x^(1/2)z]/[y^(5/2)] </SPAN>\n" );
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