document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=643377>Question 643377</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If (y^2) x (y^a) = y^8 and (y^2)^b= (y^12) what is a + b? Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #404462 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=404462\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> what is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a+%2B+b ALIGN=MIDDLE  ALT=\"a+%2B+b\"   DISABLED_style= \"max-width:90%; height:auto;\" >?\r<BR>\n" );
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document.write( "Whenever you multiply two terms with the same base, you can add the exponents:\r<BR>\n" );
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document.write( "        <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28+x%5E+m+%29%28+x%5E+n+%29+=+x%5E%28+m+%2B+n+%29 ALIGN=MIDDLE  ALT=\"%28+x%5E+m+%29%28+x%5E+n+%29+=+x%5E%28+m+%2B+n+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, you have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5E2%29+%2A%28y%5Ea%29+=+y%5E8 ALIGN=MIDDLE  ALT=\"%28y%5E2%29+%2A%28y%5Ea%29+=+y%5E8\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...=>...if bases are equal, then exponents are equal too\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5E%282%2Ba%29+=+y%5E8 ALIGN=MIDDLE  ALT=\"y%5E%282%2Ba%29+=+y%5E8\"   DISABLED_style= \"max-width:90%; height:auto;\" >...=>...<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Ba=8 ALIGN=MIDDLE  ALT=\"2%2Ba=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >=>...<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=8-2 ALIGN=MIDDLE  ALT=\"a=8-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >=>...<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28a=6%29 ALIGN=MIDDLE  ALT=\"highlight%28a=6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and \r<BR>\n" );
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document.write( "-Whenever you have an exponent expression that is raised to a power, you can multiply the exponent and power:\r<BR>\n" );
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document.write( "        <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28+x%5Em+%29%5En+=+x%5E%28+m+n%29 ALIGN=MIDDLE  ALT=\"%28+x%5Em+%29%5En+=+x%5E%28+m+n%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, you have:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5E2%29%5Eb=+y%5E12 ALIGN=MIDDLE  ALT=\"%28y%5E2%29%5Eb=+y%5E12\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...=>...<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5E%282b%29%29=+y%5E12 ALIGN=MIDDLE  ALT=\"%28y%5E%282b%29%29=+y%5E12\"   DISABLED_style= \"max-width:90%; height:auto;\" >...=>...<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2b=+12 ALIGN=MIDDLE  ALT=\"2b=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" >...=>...<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28b=+6%29 ALIGN=MIDDLE  ALT=\"highlight%28b=+6%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=a+%2B+b=6%2B6=12 ALIGN=MIDDLE  ALT=\"a+%2B+b=6%2B6=12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
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