document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=759755>Question 759755</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Quick question, I dont understand why 2^(5/2)-2^(3/2) simplified down will equal 2^(3/2).<BR>\n" );
document.write( "Heres my work and I'm looking for clarification on this part = 2^3/2*2^2/2 - 2^3/2. Why are they multiplying?<BR>\n" );
document.write( "2^5/2 - 2^3/2 <BR>\n" );
document.write( "=2^(3/2+2/2) - 2^3/2<BR>\n" );
document.write( "= 2^3/2*2^2/2 - 2^3/2<BR>\n" );
document.write( "=2^3/2(2-1)<BR>\n" );
document.write( "= 2^3/2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #462170 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=462170\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> given:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E%285%2F2%29-2%5E%283%2F2%29 ALIGN=MIDDLE  ALT=\"2%5E%285%2F2%29-2%5E%283%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "clarification on this part: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E%283%2F2%29%2A2%5E%282%2F2%29+-+2%5E3%2F2 ALIGN=MIDDLE  ALT=\"2%5E%283%2F2%29%2A2%5E%282%2F2%29+-+2%5E3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "if you have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E%285%2F2%29 ALIGN=MIDDLE  ALT=\"2%5E%285%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > you can write exponent <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F2%29 ALIGN=MIDDLE  ALT=\"%285%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F2%2B2%2F2%29 ALIGN=MIDDLE  ALT=\"%283%2F2%2B2%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then you have  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E%285%2F2%29=2%5E%283%2F2%2B2%2F2%29 ALIGN=MIDDLE  ALT=\"2%5E%285%2F2%29=2%5E%283%2F2%2B2%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then you use multiplication rule and write <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%5E%283%2F2%2B2%2F2%29 ALIGN=MIDDLE  ALT=\"+2%5E%283%2F2%2B2%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as a product like this <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E%283%2F2%29%2A2%5E%282%2F2%29 ALIGN=MIDDLE  ALT=\"2%5E%283%2F2%29%2A2%5E%282%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now back to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E%283%2F2%29%2A2%5E%282%2F2%29+-+2%5E%283%2F2%29 ALIGN=MIDDLE  ALT=\"2%5E%283%2F2%29%2A2%5E%282%2F2%29+-+2%5E%283%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >...factor\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E%283%2F2%29%282%5E%282%2F2%29+-+1%29 ALIGN=MIDDLE  ALT=\"2%5E%283%2F2%29%282%5E%282%2F2%29+-+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >....write <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E%282%2F2%29 ALIGN=MIDDLE  ALT=\"2%5E%282%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%282%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and you see that is equal <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E%283%2F2%29%282+-+1%29 ALIGN=MIDDLE  ALT=\"2%5E%283%2F2%29%282+-+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E%283%2F2%29%2A1 ALIGN=MIDDLE  ALT=\"2%5E%283%2F2%29%2A1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E%283%2F2%29 ALIGN=MIDDLE  ALT=\"2%5E%283%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%5E3%29 ALIGN=MIDDLE  ALT=\"sqrt%282%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sqrt%282%29 ALIGN=MIDDLE  ALT=\"2sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >......simple form\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A1.41 ALIGN=MIDDLE  ALT=\"2%2A1.41\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.82 ALIGN=MIDDLE  ALT=\"2.82\"   DISABLED_style= \"max-width:90%; height:auto;\" >...final result </SPAN>\n" );
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