document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=43939>Question 43939</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have three problems that I am having trouble solving I hope that is okay. Here they are with what work I have done.<BR>\n" );
document.write( " simplify:  (3x^4)^2(4x^-5)^-1/12x^-6 = (3x^4) (3x^4)=9x^8<BR>\n" );
document.write( "               9x^8 * 4x^-6/12x^-6<BR>\n" );
document.write( "simplify 4th root of (x^5 divided by 16y^15)<BR>\n" );
document.write( "simplify:  (x^1/4y^1/2)^2(x^2y^3)^1/2\r<BR>\n" );
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document.write( "thank you so much </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #29296 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=29296\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> simplify: (3x^4)^2(4x^-5)^-1/12x^-6 = (3x^4) (3x^4)=9x^8<BR>\n" );
document.write( "9x^8 * 4x^-6/12x^-6<BR>\n" );
document.write( "simplify 4th root of (x^5 divided by 16y^15)<BR>\n" );
document.write( "simplify: (x^1/4y^1/2)^2(x^2y^3)^1/2 <BR>\n" );
document.write( "--------------------------------------------<BR>\n" );
document.write( "Simplify:(3x^4)^2(4x^-5)^-1/12x^-6 <BR>\n" );
document.write( "(9x^8)[(1/4)x^5]/[12/x^6]<BR>\n" );
document.write( "[(9/4)x^12]<BR>\n" );
document.write( "(3/16)x^18<BR>\n" );
document.write( "---------------------------------------------<BR>\n" );
document.write( "Simplify: (x^5 divided by 16y^15)^(1/4)<BR>\n" );
document.write( "=x(x^(1/4)) / [2y^3(y^(3/4)]<BR>\n" );
document.write( "=(x/2y^3)(x/y^3)^(1/4)<BR>\n" );
document.write( "-----------------------------------------<BR>\n" );
document.write( "Simplify:(x^1/4y^1/2)^2(x^2y^3)^1/2 <BR>\n" );
document.write( "=[x^(1/2)/(16y]<BR>\n" );
document.write( "=[x^(3/2)y(3/2)]/16y<BR>\n" );
document.write( "=(1/16)[x^(3/2)y^(1/2)]<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "Comment: You may find the \"simplified\" versions<BR>\n" );
document.write( "in your answer book are different then these.<BR>\n" );
document.write( "To simplify frequently allows for many interpretations.<BR>\n" );
document.write( "The important thing is that you arrive at a correct<BR>\n" );
document.write( "form that is acceptable for your purposes.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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