document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=374383>Question 374383</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This problem is throwing me off because of the negative exponent. If you are able to answer please show your work so I will understand how you arrived at the answer for my other homework problems. Thanks so much!!! \r<BR>\n" );
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document.write( "3^5/8<BR>\n" );
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document.write( "3^-1/8\r<BR>\n" );
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document.write( "(note: this is a fraction with 3^5/8 being the numerator and 3^-1/8 being the denominator) <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #266399 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=266399\">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=3%5E%285%2F8%29%2F3%5E%28-1%2F8%29 ALIGN=MIDDLE  ALT=\"3%5E%285%2F8%29%2F3%5E%28-1%2F8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The rules for exponents are the same <b>all</b> exponents. The fact that there are fractional and/or negative exponents do not change the rules! This is a division involving the same base, 3. The rule here is to subtract the exponents (the numerator's exponent minus the denominator's exponent). Applying this rule to your expression we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E%28%285%2F8%29-%28-1%2F8%29%29 ALIGN=MIDDLE  ALT=\"3%5E%28%285%2F8%29-%28-1%2F8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E%28%285%2F8%29%2B%281%2F8%29%29 ALIGN=MIDDLE  ALT=\"3%5E%28%285%2F8%29%2B%281%2F8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Fortunately the two fractions have the same denominator so we can go ahead and add them:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E%286%2F8%29 ALIGN=MIDDLE  ALT=\"3%5E%286%2F8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The fraction will reduce:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E%283%2F4%29 ALIGN=MIDDLE  ALT=\"3%5E%283%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This may be an acceptable answer. But we can rewrite this using the fact that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E%28p%2Fq%29+=+root%28q%2C+a%5Ep%29 ALIGN=MIDDLE  ALT=\"a%5E%28p%2Fq%29+=+root%28q%2C+a%5Ep%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%284%2C+3%5E3%29 ALIGN=MIDDLE  ALT=\"root%284%2C+3%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E3+=+27 ALIGN=MIDDLE  ALT=\"3%5E3+=+27\"   DISABLED_style= \"max-width:90%; height:auto;\" > this becomes:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%284%2C+27%29 ALIGN=MIDDLE  ALT=\"root%284%2C+27%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );