document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=430664>Question 430664</A>: <I><SPAN STYLE=\"word-break: break-all;\"> evaluate 243^(-2/5) without a calculator </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #299048 by </B><A HREF=/tutors/aboutme.mpl?userid=Gersid><B>Gersid(33)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Gersid><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=299048\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Evaluate:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=243%5E%28-2%2F5%29 ALIGN=MIDDLE  ALT=\"243%5E%28-2%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > First, rewrite this with a positive exponent:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F243%5E%282%2F5%29 ALIGN=MIDDLE  ALT=\"1%2F243%5E%282%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now find the prime factors of 243 (Hint, it's a multiple of 3):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=243+=+3%2A81 ALIGN=MIDDLE  ALT=\"243+=+3%2A81\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A3%2A27+=+3%2A3%2A3%2A9 ALIGN=MIDDLE  ALT=\"3%2A3%2A27+=+3%2A3%2A3%2A9\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A3%2A3%2A3%2A3+=+3%5E5 ALIGN=MIDDLE  ALT=\"3%2A3%2A3%2A3%2A3+=+3%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now you have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%283%5E5%29%5E%282%2F5%29 ALIGN=MIDDLE  ALT=\"1%2F%283%5E5%29%5E%282%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > The fifth root of 3 to the fifth is just 3, so now you have...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3%5E2 ALIGN=MIDDLE  ALT=\"1%2F3%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and 3 squared is 9.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F9 ALIGN=MIDDLE  ALT=\"1%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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