document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=72724>Question 72724</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0812387511/algebrahomeworkh>McDOUGAL Littell/Houghton Mifflin Algebra 1 An Intergrated Approach</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> (6*10^4)^5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #52033 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=52033\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When you are tasked to raise a quantity to the 5th power, what you are being asked to do <BR>\n" );
document.write( "is to write he quantity down 5 times in a row and then put multiplication signs between <BR>\n" );
document.write( "these 5 terms. For this problem this involves:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286%2A10%5E4%29%2A%286%2A10%5E4%29%2A%286%2A10%5E4%29%2A%286%2A10%5E4%29%2A%286%2A10%5E4%29 ALIGN=MIDDLE  ALT=\"%286%2A10%5E4%29%2A%286%2A10%5E4%29%2A%286%2A10%5E4%29%2A%286%2A10%5E4%29%2A%286%2A10%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and by the rules of multiplication you get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2A6%2A6%2A6%2A6+=+7776 ALIGN=MIDDLE  ALT=\"6%2A6%2A6%2A6%2A6+=+7776\"   DISABLED_style= \"max-width:90%; height:auto;\" > and you multiply the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E4 ALIGN=MIDDLE  ALT=\"10%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "terms by adding the exponents to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E%284%2B4%2B4%2B4%2B4%29+=+10%5E20 ALIGN=MIDDLE  ALT=\"10%5E%284%2B4%2B4%2B4%2B4%29+=+10%5E20\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Therefore the answer becomes<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7776%2A10%5E20 ALIGN=MIDDLE  ALT=\"7776%2A10%5E20\"   DISABLED_style= \"max-width:90%; height:auto;\" > which can be changed to scientific notation if you wish by taking a factor of<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E3 ALIGN=MIDDLE  ALT=\"10%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > from the 7776 making it <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7.776+%2A+10%5E3 ALIGN=MIDDLE  ALT=\"7.776+%2A+10%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and multiplying this by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E20 ALIGN=MIDDLE  ALT=\"10%5E20\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "In doing so you can add the exponents of the 10s to get the scientific notation form of the<BR>\n" );
document.write( "answer as equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7.776+%2A+10%5E23 ALIGN=MIDDLE  ALT=\"7.776+%2A+10%5E23\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "That's the long way of doing it, but it shows how it can be thought of.  The short way<BR>\n" );
document.write( "is to think of the original problem as:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286%5E1%2A10%5E4%29%5E5 ALIGN=MIDDLE  ALT=\"%286%5E1%2A10%5E4%29%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "Then multiply the exponent 5 times each of the 2 exponents in parentheses to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%5E5+%2A+10%5E20 ALIGN=MIDDLE  ALT=\"6%5E5+%2A+10%5E20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( "and you can raise 6 to the 5th power on any basic scientific calculator ($10 or less) to get<BR>\n" );
document.write( "that it is 7776 and multiply that by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%5E20 ALIGN=MIDDLE  ALT=\"10%5E20\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get the answer as<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7776%2A10%5E20 ALIGN=MIDDLE  ALT=\"7776%2A10%5E20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and this can again be converted to scientific notation as was explained above.<BR>\n" );
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document.write( "Hope this helps you with the rules of exponents. </SPAN>\n" );
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