document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1190689>Question 1190689</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is z to the zero power times z to the negative 10th? Only using positive exponents. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #822389 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=822389\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Any nonzero number to the exponent of 0 will result in 1.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%5E0+=+1 ALIGN=MIDDLE  ALT=\"z%5E0+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > as long as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z+%3C%3E+0 ALIGN=MIDDLE  ALT=\"z+%3C%3E+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Multiplying by 1 has no effect, so the z^0 won't affect the answer.\r<BR>\n" );
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document.write( "The <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%5E%28-10%29 ALIGN=MIDDLE  ALT=\"z%5E%28-10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > portion then turns into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28z%5E%2810%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28z%5E%2810%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > when we make the exponent positive. Take the reciprocal of the base to make the exponent positive. <BR>\n" );
document.write( "The general rule is that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E%28-b%29+=+1%2F%28a%5Eb%29 ALIGN=MIDDLE  ALT=\"a%5E%28-b%29+=+1%2F%28a%5Eb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or you can think of it like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Fb%29%5E%28-c%29+=+%28b%2Fa%29%5Ec ALIGN=MIDDLE  ALT=\"%28a%2Fb%29%5E%28-c%29+=+%28b%2Fa%29%5Ec\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28z%5E%2810%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28z%5E%2810%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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