document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=22969>Question 22969</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please Help Me Solve This Problem:<BR>\n" );
document.write( "Simplify Each:\r<BR>\n" );
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document.write( "y^-7\r<BR>\n" );
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document.write( "Thank you for your time and help ! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #11409 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=11409\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Have you done anything with the laws of exponents?  For example, when you divide with the same base number, you subtract exponents:  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E12%29%2F%28x%5E5%29=+x%5E7+ ALIGN=MIDDLE  ALT=\"%28x%5E12%29%2F%28x%5E5%29=+x%5E7+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If it had been <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E5%29%2F%28x%5E12%29 ALIGN=MIDDLE  ALT=\"%28x%5E5%29%2F%28x%5E12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > can you see that if you subtract exponents you would have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%285-12%29 ALIGN=MIDDLE  ALT=\"x%5E%285-12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which could be written <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%28-7%29 ALIGN=MIDDLE  ALT=\"x%5E%28-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >?\r<BR>\n" );
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document.write( "This same problem <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E5%29%2F%28x%5E12%29 ALIGN=MIDDLE  ALT=\"%28x%5E5%29%2F%28x%5E12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > could also be simplified as a fraction to be reduced by dividing out the five x factors in the numerator with five of the x factors in the denominator.  In this method, all the x factors in the numerator divide out, and you would be left with a 1 in the numerator since they all divided out and seven factors of x left in the denominator:  <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx%5E7 ALIGN=MIDDLE  ALT=\"1%2Fx%5E7\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \r<BR>\n" );
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document.write( "What you have just done is derived the formula <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%28-7%29=+1%2F%28x%5E7%29 ALIGN=MIDDLE  ALT=\"x%5E%28-7%29=+1%2F%28x%5E7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In summary, any time you have a negative exponent, you get a fraction whose numerator is 1, and whose denominator is the same as the original problem but with a positive exponent.  For examples:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%28-3%29=+1%2F%28x%5E3%29 ALIGN=MIDDLE  ALT=\"x%5E%28-3%29=+1%2F%28x%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "R^2 at SCC </SPAN>\n" );
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