document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=141944>Question 141944</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having difficulty trying to simplify radical equations that use exponents.\r<BR>\n" );
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document.write( "The problem I ma trying to solve is:\r<BR>\n" );
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document.write( "5x{sqrt(448x^5y^3}-3y{sqrt(63x^7y}\r<BR>\n" );
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document.write( "I understand I am supposed to factor down the 448 and 63, but I am not sure what is supposed to happen with the exponents.  Any help is greatly appreciated. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #103379 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=103379\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 5x{sqrt(448x^5y^3}-3y{sqrt(63x^7y}<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2Asqrt%28448x%5E5y%5E3%29 ALIGN=MIDDLE  ALT=\"5x%2Asqrt%28448x%5E5y%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y%2Asqrt%2863x%5E7y%29 ALIGN=MIDDLE  ALT=\"3y%2Asqrt%2863x%5E7y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Factor inside the radical to reveal the perfect squares:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2Asqrt%2864%2A7%2Ax%5E4%2Ax%2Ay%5E2%2Ay%29 ALIGN=MIDDLE  ALT=\"5x%2Asqrt%2864%2A7%2Ax%5E4%2Ax%2Ay%5E2%2Ay%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y%2Asqrt%289%2A7%2Ax%5E6%2Ax%2Ay%29 ALIGN=MIDDLE  ALT=\"3y%2Asqrt%289%2A7%2Ax%5E6%2Ax%2Ay%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Extract those perfect squares:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2A8%2Ax%5E2%2Ay%2Asqrt%287%2Ax%2Ay%29 ALIGN=MIDDLE  ALT=\"5x%2A8%2Ax%5E2%2Ay%2Asqrt%287%2Ax%2Ay%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3y%2A3%2Ax%5E3%2Asqrt%287%2Ax%2Ay%29 ALIGN=MIDDLE  ALT=\"3y%2A3%2Ax%5E3%2Asqrt%287%2Ax%2Ay%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Combine like terms<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40x%5E3y%2Asqrt%287xy%29 ALIGN=MIDDLE  ALT=\"40x%5E3y%2Asqrt%287xy%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%5E3y%2Asqrt%287xy%29 ALIGN=MIDDLE  ALT=\"9x%5E3y%2Asqrt%287xy%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "These are like terms so we have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=31x%5E3y%2Asqrt%287xy%29 ALIGN=MIDDLE  ALT=\"31x%5E3y%2Asqrt%287xy%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Did this help you?\r<BR>\n" );
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document.write( "   </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );