document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=970279>Question 970279</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What are the steps to simplify this expression?(-27/8)^(-3/4)<BR>\n" );
document.write( "In word form: negative twenty-seven eighths to the power of negative three fourths.\r<BR>\n" );
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document.write( "Is there a formula for these types of problems?<BR>\n" );
document.write( "I came up with one(A^(-x/y) = ((a^x)^-1)^1/y), but it didn't work.\r<BR>\n" );
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document.write( "Thanks<BR>\n" );
document.write( "Micah </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #592944 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=592944\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What are the steps to simplify this expression?(-27/8)^(-3/4)<BR>\n" );
document.write( "-----------<BR>\n" );
document.write( "= (-8/27)^(3/4)<BR>\n" );
document.write( "= (-2/3)^(9/4)<BR>\n" );
document.write( "= (4/9)*(-2/3)^(1/4)<BR>\n" );
document.write( "Any further \"simplification\" involves i, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28-1%29 ALIGN=MIDDLE  ALT=\"sqrt%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28i%29 ALIGN=MIDDLE  ALT=\"sqrt%28i%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Which expression is simpler is a matter of opinion.<BR>\n" );
document.write( "I would choose (-2/3)^(9/4)<BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%284%2C-512%2F19683%29 ALIGN=MIDDLE  ALT=\"root%284%2C-512%2F19683%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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