document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=83729>Question 83729</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the five properties of exponents to simplify the following expression:\r<BR>\n" );
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document.write( "(y^5)^3(y^3)^2/(y^4)^4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #60305 by </B><A HREF=/tutors/aboutme.mpl?userid=lekelly><B>lekelly(20)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lekelly><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=60305\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (y^5)^3(y^3)^2/(y^4)^4\r<BR>\n" );
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document.write( "To solve:\r<BR>\n" );
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document.write( "step 1: use propery (x^m)^n=x^(m*n) to each term, we get:<BR>\n" );
document.write( "   [y^(5*3)y^(3*2)]/y^(4*4)<BR>\n" );
document.write( "   simplify to get: (y^15*y^6)/y^16\r<BR>\n" );
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document.write( "step 2: use property x^m*x^n=x^(m+n) to the numerator, we get:<BR>\n" );
document.write( "   [y^(15+6)/y^16)]<BR>\n" );
document.write( "   simplify: y^23/y^16\r<BR>\n" );
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document.write( "step 3: use property x^m/x^n=x^(m-n) we get:<BR>\n" );
document.write( "   y^(23-16)<BR>\n" );
document.write( "  simplify  y^7\r<BR>\n" );
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document.write( "your answer is y^7\r<BR>\n" );
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document.write( " </SPAN>\n" );
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