document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=70562>Question 70562</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having a difficult time simplifying this problem:\r<BR>\n" );
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document.write( "(15625a^2/15b^-1/3)^5/6\r<BR>\n" );
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document.write( "The instructions say to Simplify. Present all answers with positive exponents. Assume that all variables represent positive numbers. \r<BR>\n" );
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document.write( "We have recently learned about radicals, but I am not sure if that has anything to do with this or not. \r<BR>\n" );
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document.write( "I started out doing the following:\r<BR>\n" );
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document.write( "(6th root of 15625a^2/15b^-1/3)^5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #50377 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=50377\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (15625a^2/15b^-1/3)^5/6 <BR>\n" );
document.write( "Replace 15625 with 5to the 6 power<BR>\n" );
document.write( "Rewrite as:<BR>\n" );
document.write( "[(5^6)a^(2/15)(b^(-1/3)]^(5/6)\r<BR>\n" );
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document.write( "Apply the power of (5/6) to each of the factors to get:\r<BR>\n" );
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document.write( "=[ (5^5)(a^(1/9))(b^(-5/18)]\r<BR>\n" );
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document.write( "=[25 a^(1/9)]/[b^(5/18)]\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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