document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=937500>Question 937500</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x^0=1<BR>\n" );
document.write( "how? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #570867 by </B><A HREF=/tutors/aboutme.mpl?userid=adrian1baldovino><B>adrian1baldovino(1)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=adrian1baldovino><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=570867\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Ex.1:  5^3 / 5^2 = 125 / 25 = 5<BR>\n" );
document.write( "       5^3 / 5^2 = 5 ^(3-2) = 5^1 = 5\r<BR>\n" );
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document.write( "Ex.2:  5^3 / 5^3 = 125 / 125 = 1<BR>\n" );
document.write( "       5^3 / 5^3 = 5 ^(3-3) = 5^0 = <BR>\n" );
document.write( "       ... and the result must be 1. So 5^0 =1.\r<BR>\n" );
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document.write( "The rule is: x^b / x^c = x^(b-c).\r<BR>\n" );
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document.write( "In order to generalize this rule for the case b=c, it must be defined that x^0 = 1 (x is any number different from 0). In mathematics, usefulness and consistency are very important. This convention allows us to extend definitions of power that would otherwise require treating 0 as a special case.\r<BR>\n" );
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document.write( "This method can also explain the definition: x^(-b) = 1 / x^b.\r<BR>\n" );
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document.write( "Ex.  5^2 / 5^4 = 25 / 625 = 1 / 5^2<BR>\n" );
document.write( "     5^2 / 5^4 = 5 ^(2-4) = 5^(-2) </SPAN>\n" );
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