document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=107732>Question 107732</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify the expression:\r<BR>\n" );
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document.write( "(1/8)^-2/3 + (1/4)^-1/2\r<BR>\n" );
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document.write( "I don't know how to do this!  Do I find the LCD first?\r<BR>\n" );
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document.write( "(1/8)^-2/3 + (2/8)^1/2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #78505 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=78505\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You won't need an LCD for this one.\r<BR>\n" );
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document.write( "The first thing you need is a couple of rules:\r<BR>\n" );
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document.write( "1) <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;\" >\r<BR>\n" );
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document.write( "2) when you have an exponent of the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%2Fn ALIGN=MIDDLE  ALT=\"m%2Fn\"   DISABLED_style= \"max-width:90%; height:auto;\" >, it means to take the nth root of the expression raised to the m power.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F8%29%5E%28-2%2F3%29%2B%281%2F4%29%5E%28-1%2F2%29 ALIGN=MIDDLE  ALT=\"%281%2F8%29%5E%28-2%2F3%29%2B%281%2F4%29%5E%28-1%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the original problem, so apply rule 1).\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F%281%2F8%29%5E%282%2F3%29%29%2B%281%2F%281%2F4%29%5E%281%2F2%29%29 ALIGN=MIDDLE  ALT=\"%281%2F%281%2F8%29%5E%282%2F3%29%29%2B%281%2F%281%2F4%29%5E%281%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now apply rule 2) to each of the terms:\r<BR>\n" );
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document.write( "The cube root of 8 is 2 and 2 squared is 4, and the square root of 4 is 2, so we can write:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F%281%2F4%29%29%2B%281%2F%281%2F2%29%29=4%2B2=6 ALIGN=MIDDLE  ALT=\"%281%2F%281%2F4%29%29%2B%281%2F%281%2F2%29%29=4%2B2=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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