document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=407332>Question 407332</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify each expression. Rationalize all denominators.<BR>\n" );
document.write( " Assume that all variables are positive. \r<BR>\n" );
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document.write( "&#8730;8x^3 * &#8730;2x^5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #287172 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=287172\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%288x%5E3%29+%2A+sqrt%282x%5E5%29 ALIGN=MIDDLE  ALT=\"sqrt%288x%5E3%29+%2A+sqrt%282x%5E5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >..........The square root of a product<BR>\n" );
document.write( "is equal to the product of the square roots<BR>\n" );
document.write( "of each factor.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%288x%5E3%29%282x%5E5%29%29 ALIGN=MIDDLE  ALT=\"sqrt%28%288x%5E3%29%282x%5E5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >....To multiply powers of the same base, add the exponents.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2816x%5E8%29 ALIGN=MIDDLE  ALT=\"sqrt%2816x%5E8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >....here you can write <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E8 ALIGN=MIDDLE  ALT=\"x%5E8\"   DISABLED_style= \"max-width:90%; height:auto;\" > using \"power of a power\" rule as  (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E8=%28x%5E4%29%5E2 ALIGN=MIDDLE  ALT=\"x%5E8=%28x%5E4%29%5E2\"   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%284%5E2%28x%5E4%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%284%5E2%28x%5E4%29%5E2%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=4x%5E4%29 ALIGN=MIDDLE  ALT=\"4x%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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