document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1009819>Question 1009819</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Simplify eliminating the negative exponents,if any:<BR>\n" );
document.write( "(2x^2)(z^4)^3/2÷(4^5/2)(x^-7)z </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #625314 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=625314\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> see my worksheet shown below:\r<BR>\n" );
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document.write( "the steps are described here.\r<BR>\n" );
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document.write( "1.<BR>\n" );
document.write( "original expression is shown.<BR>\n" );
document.write( "2.<BR>\n" );
document.write( "original ezpression is equivalent to what is shown here.<BR>\n" );
document.write( "3.<BR>\n" );
document.write( "the first term of 1/4^(5/2) is evaluated here to be equivalent to 1/32.<BR>\n" );
document.write( "4.<BR>\n" );
document.write( "the second term of 2x^2/x^(-7) is evaluated here to be equivalent to 2x^9<BR>\n" );
document.write( "5.<BR>\n" );
document.write( "the numerator of the third term of (z^4)^(3/2) is evaluated her to be equivalent to z^6.<BR>\n" );
document.write( "6.<BR>\n" );
document.write( "the third term of z^6 is divided by z and evaluated here to be equivalent to z^5.<BR>\n" );
document.write( "7.<BR>\n" );
document.write( "step 2 is evaluated here after having each of its terms replaced by their equivalents in steps 3,4,5,6.\r<BR>\n" );
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document.write( "your final solution is x^9 * z^5 / 16\r<BR>\n" );
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document.write( "this solution was confirmed by replace x with 3 and z with 3 and then evaluating both the original expression and the final expression.\r<BR>\n" );
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document.write( "since they both returned the same value, the solution is assumed to be good.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2015/121201.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "some concepts involved:\r<BR>\n" );
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document.write( "x^a / x^b = x^(a-b)\r<BR>\n" );
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document.write( "x^a * x^b = x^(a+b)\r<BR>\n" );
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document.write( "x^(a/b) = x^a * x^(1/b)\r<BR>\n" );
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document.write( "(x^a)^b = x^(a*b)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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