document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=405545>Question 405545</A>: <I><SPAN STYLE=\"word-break: break-all;\"> DEFINITIONS AND RULES FOR EXPONENTS.:Explain three rules for exponents <BR>\n" );
document.write( "Product Rule:<BR>\n" );
document.write( "Quotient Rule:<BR>\n" );
document.write( "Power Rule:<BR>\n" );
document.write( "Raising a product to a power:<BR>\n" );
document.write( "Raising a quotient to a power:<BR>\n" );
document.write( "Scientific notation: </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #286446 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=286446\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Rule 1.  \r<BR>\n" );
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document.write( "Same Base...=>...\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Em%2Aa%5En+=+a%5E%28m+%2B+n%29 ALIGN=MIDDLE  ALT=\"a%5Em%2Aa%5En+=+a%5E%28m+%2B+n%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....To multiply powers of the same base, add the exponents.\r<BR>\n" );
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document.write( "Rule 2:  \r<BR>\n" );
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document.write( "Power of a Product of Factors\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28ab%29%5En+=+a%5Enb%5En ALIGN=MIDDLE  ALT=\"%28ab%29%5En+=+a%5Enb%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" >.........\r<BR>\n" );
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document.write( "Rule 3:   \r<BR>\n" );
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document.write( "Power of a Power\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%5Em%29%5En+=+a%5Emn ALIGN=MIDDLE  ALT=\"%28a%5Em%29%5En+=+a%5Emn\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........to take a power of a power, we multiply the exponents\r<BR>\n" );
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document.write( "Raising a product to a power: \r<BR>\n" );
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document.write( "When a product is raised to a power, we can distribute that power through to each term in the product. That is\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28ab%29%5En+=+a%5Enb%5En ALIGN=MIDDLE  ALT=\"%28ab%29%5En+=+a%5Enb%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This is true for all kinds of exponents, positive and negative (and as we will see later, fractional).\r<BR>\n" );
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document.write( "Raising a quotient to a power:\r<BR>\n" );
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document.write( "Raising a quotient to a power can be done by using the formula for raising products to a power:\r<BR>\n" );
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document.write( "    <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Fb%29%5En=%28a%2Ab%5E%28-1%29%29%5En=a%5En%2A%28b%5E%28-1%29%29%5En=a%5En%2Ab%5E%28-n%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In general, this means that we can distribute the power over each term in the quotient:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Fb%29%5En=+a%5En%2Fb%5En ALIGN=MIDDLE  ALT=\"%28a%2Fb%29%5En=+a%5En%2Fb%5En\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Scientific notation:\r<BR>\n" );
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document.write( "To make writing and dealing with these <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=very ALIGN=MIDDLE  ALT=\"very\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+large ALIGN=MIDDLE  ALT=\"+large\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=very ALIGN=MIDDLE  ALT=\"very\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+small ALIGN=MIDDLE  ALT=\"+small\"   DISABLED_style= \"max-width:90%; height:auto;\" > numbers easier, scientists developed scientific notation. \r<BR>\n" );
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document.write( "Fraction         Decimal      Exponential Notation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F1000 ALIGN=MIDDLE  ALT=\"1%2F1000\"   DISABLED_style= \"max-width:90%; height:auto;\" >     <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.001+ ALIGN=MIDDLE  ALT=\"0.001+\"   DISABLED_style= \"max-width:90%; height:auto;\" >          <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E-3 ALIGN=MIDDLE  ALT=\"10%5E-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Every non-zero number can be written in scientific notation. For example,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100=1%2A10%5E2 ALIGN=MIDDLE  ALT=\"100=1%2A10%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4321=4.321%2A10%5E3 ALIGN=MIDDLE  ALT=\"4321=4.321%2A10%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.0007925=7.925%2A10%5E-4 ALIGN=MIDDLE  ALT=\"0.0007925=7.925%2A10%5E-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and so on\r<BR>\n" );
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document.write( "	\r<BR>\n" );
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document.write( " </SPAN>\n" );
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