document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1105691>Question 1105691</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve the monomial -2^8 times 5^3 over 5^4 times 2^10 times 10<BR>\n" );
document.write( "The problem asks me to calculate but my teacher taught us an easier way of solving the monomial instead of simplifying and multiplying every expression but i just forgot how  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #720574 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=720574\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> not sure what your teacher taught you, but here's a way that i learned from online tutorials.\r<BR>\n" );
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document.write( "(-2^8 * 5^3) / (5^4 * 2^10 * 10) equals:\r<BR>\n" );
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document.write( "-1/10 * 2^8/2^10 * 5^3/5^4 equals:\r<BR>\n" );
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document.write( "-1/10 * 2^(8-10) * 5^(3-4) equals:\r<BR>\n" );
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document.write( "-1/10 * 2^(-2) * 5^(-1) equals:\r<BR>\n" );
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document.write( "-1/10 * 1/2^2 * 1/5^1 equals:\r<BR>\n" );
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document.write( "-1/10 * 1/4 * 1/5 equals:\r<BR>\n" );
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document.write( "-1/10 * 1/20 equals:\r<BR>\n" );
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document.write( "-1/200.\r<BR>\n" );
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document.write( "note that -2^8 is not the same as (-2)^8.\r<BR>\n" );
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document.write( "-2^8 is the same as -(2^8).\r<BR>\n" );
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document.write( "if they showed it to you without the parentheses surrounding the -2, then it -(2^8).\r<BR>\n" );
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document.write( "the concepts involved are:\r<BR>\n" );
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document.write( "x^a / x^b is equal to x^(a-b).\r<BR>\n" );
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document.write( "x^(-a) is equal to 1/x^a.\r<BR>\n" );
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document.write( "-x^a is equal to -1 * x^a which is equal to -(x^a)\r<BR>\n" );
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document.write( "(-x)^a is equal to (-x)^a\r<BR>\n" );
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document.write( "also some more exponential arithmetic properties.\r<BR>\n" );
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document.write( "(x*y)^a is equal to x^a * y^a\r<BR>\n" );
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document.write( "(x/y)^a is equal to x^a / y^a\r<BR>\n" );
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document.write( "these properties, and possibly more, are covered in tutorials 42 to 48 in the following reference.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/index.htm\" target = \"_blank\">http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/index.htm</a>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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