document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=817140>Question 817140</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify. Write with positive exponents.\r<BR>\n" );
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document.write( "[(b^3/4)/(a^-1/2)]^8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #491952 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=491952\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b%5E%283%2F4%29%2Fa%5E%28-1%2F2%29%29%5E8 ALIGN=MIDDLE  ALT=\"%28b%5E%283%2F4%29%2Fa%5E%28-1%2F2%29%29%5E8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "To start we can use the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Fb%29%5En+=+a%5En%2Fb%5En ALIGN=MIDDLE  ALT=\"%28a%2Fb%29%5En+=+a%5En%2Fb%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" > rule to raise the fraction to the 8th power:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28b%5E%283%2F4%29%29%5E8%2F%28a%5E%28-1%2F2%29%29%5E8 ALIGN=MIDDLE  ALT=\"%28b%5E%283%2F4%29%29%5E8%2F%28a%5E%28-1%2F2%29%29%5E8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Next we use the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%5En%29%5Em+=+a%5E%28n%2Am%29 ALIGN=MIDDLE  ALT=\"%28a%5En%29%5Em+=+a%5E%28n%2Am%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > rule to raise the powers of a power:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E%28%283%2F4%29%2A8%29%2Fa%5E%28%28-1%2F2%29%2A8%29 ALIGN=MIDDLE  ALT=\"b%5E%28%283%2F4%29%2A8%29%2Fa%5E%28%28-1%2F2%29%2A8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplifying...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E6%2Fa%5E%28-4%29 ALIGN=MIDDLE  ALT=\"b%5E6%2Fa%5E%28-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Now we will deal with the negative exponent. (Some like to deal with this first. But I prefer to wait until the end. Sometimes the negative exponents disappear on their own while working out the rest of the problem. In those cases it would be been a waste of time to have bothered with them at the start.) Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E%28-n%29+=+1%2Fa%5En ALIGN=MIDDLE  ALT=\"a%5E%28-n%29+=+1%2Fa%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" > our expression becomes:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E6%2F%281%2Fa%5E4%29 ALIGN=MIDDLE  ALT=\"b%5E6%2F%281%2Fa%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which simplifies to:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E4+%2A+b%5E6 ALIGN=MIDDLE  ALT=\"a%5E4+%2A+b%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
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