document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=559576>Question 559576</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you solve this problem?\r<BR>\n" );
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document.write( "6^1/3*6^5/3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #363465 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=363465\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given to evaluate:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%5E%281%2F3%29%2A6%5E%285%2F3%29 ALIGN=MIDDLE  ALT=\"6%5E%281%2F3%29%2A6%5E%285%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "[Note that the software that produces the fractional exponents slightly clips off the tops of the numerators. One of the clipped numbers is 1 and the other is 5.]<BR>\n" );
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document.write( "The two bases are both 6. Therefore, all you need to do is add the exponents and raise 6 to the power of the added exponents.<BR>\n" );
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document.write( "So the answer is given by:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%5E%281%2F3+%2B+5%2F3%29 ALIGN=MIDDLE  ALT=\"6%5E%281%2F3+%2B+5%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "[Again the clipped numerators. And again, one of them is 1 and the other is 5.]<BR>\n" );
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document.write( "Adding the two exponents involves adding <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F3 ALIGN=MIDDLE  ALT=\"5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >. This sum is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2B5%29%2F3+=+6%2F3 ALIGN=MIDDLE  ALT=\"%281%2B5%29%2F3+=+6%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F3+=+2 ALIGN=MIDDLE  ALT=\"6%2F3+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "So the answer to this problem is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%5E2 ALIGN=MIDDLE  ALT=\"6%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and 6 squared gives you the final answer which is 36.<BR>\n" );
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document.write( "Hope this helps you to understand the problem. Remember that the bases of the two numbers in the product must be the same for the method of adding exponents to work. </SPAN>\n" );
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