document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=209387>Question 209387</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Multiply: leave answer in scientific notation\r<BR>\n" );
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document.write( "(4.0 * 10^-3)(3.0 * 10^-8)(2.0 * 10^4) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #158302 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=158302\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (4.0 * 10^-3)(3.0 * 10^-8)(2.0 * 10^4)\r<BR>\n" );
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document.write( "Let's 1st multiply the decimals:\r<BR>\n" );
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document.write( "4.0 * 3.0 * 2.0 = 24, or, 2.4 x <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E1 ALIGN=MIDDLE  ALT=\"10%5E1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now let's multiply the base-10 powers: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810%5E-3%29%2A%2810%5E-8%29%2A%2810%5E4%29 ALIGN=MIDDLE  ALT=\"%2810%5E-3%29%2A%2810%5E-8%29%2A%2810%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Since these expressions have the same base, then using the law of exponents, we just add their exponenets. Therefore, we get: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E%28-3%2B-8%2B4%29 ALIGN=MIDDLE  ALT=\"10%5E%28-3%2B-8%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810%5E-7%29 ALIGN=MIDDLE  ALT=\"%2810%5E-7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We now have   2.4 x <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E1 ALIGN=MIDDLE  ALT=\"10%5E1\"   DISABLED_style= \"max-width:90%; height:auto;\" > x <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E-7 ALIGN=MIDDLE  ALT=\"10%5E-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Once again, we add the exponents with the same base of 10 to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%282.4%29 ALIGN=MIDDLE  ALT=\"highlight_green%282.4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > x <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%2810%5E-6%29 ALIGN=MIDDLE  ALT=\"highlight_green%2810%5E-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
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