document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=948373>Question 948373</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For what value is z is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E8%2A5%5Ez=1 ALIGN=MIDDLE  ALT=\"5%5E8%2A5%5Ez=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Please help me I just know that is has to do with Negative and Zero powers because that is our leason we are on. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #578865 by </B><A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><B>Edwin McCravy(20063)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Edwin+McCravy><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=Edwin+McCravy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=578865\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Any number (except 0 itself) raised to the zero power is 1.  \r<BR>\n" );
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document.write( "Method 1: Using 0 exponent:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E8%2A5%5Ez=1 ALIGN=MIDDLE  ALT=\"5%5E8%2A5%5Ez=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add the expontents of 5 on the left\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E%288%2Bz%29=1 ALIGN=MIDDLE  ALT=\"5%5E%288%2Bz%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Replace 1 on the right by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E0 ALIGN=MIDDLE  ALT=\"5%5E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E%288%2Bz%29=5%5E0 ALIGN=MIDDLE  ALT=\"5%5E%288%2Bz%29=5%5E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since the bases are the same non-1 positive number 5 on<BR>\n" );
document.write( "both sides we may just equate the exponents:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2Bz=0 ALIGN=MIDDLE  ALT=\"8%2Bz=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=-8 ALIGN=MIDDLE  ALT=\"z=-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Method 2:  Using negative exponent:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E8%2A5%5Ez=1 ALIGN=MIDDLE  ALT=\"5%5E8%2A5%5Ez=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E8 ALIGN=MIDDLE  ALT=\"5%5E8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E8%2A5%5Ez%2F5%5E8=1%2F5%5E8 ALIGN=MIDDLE  ALT=\"5%5E8%2A5%5Ez%2F5%5E8=1%2F5%5E8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%285%5E8%29%2A5%5Ez%2Fcross%285%5E8%29=1%2F5%5E8 ALIGN=MIDDLE  ALT=\"cross%285%5E8%29%2A5%5Ez%2Fcross%285%5E8%29=1%2F5%5E8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Move the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E8 ALIGN=MIDDLE  ALT=\"5%5E8\"   DISABLED_style= \"max-width:90%; height:auto;\" > from the bottom to the top<BR>\n" );
document.write( "and change the sign of the exponent as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E%28-8%29 ALIGN=MIDDLE  ALT=\"5%5E%28-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5Ez=5%5E%28-8%29 ALIGN=MIDDLE  ALT=\"5%5Ez=5%5E%28-8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Equate the exponents\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+=+-8 ALIGN=MIDDLE  ALT=\"z+=+-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Both ways are correct and give the same answer.  Take your pick.\r<BR>\n" );
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document.write( "Edwin</pre>\r<BR>\n" );
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