document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=148978>Question 148978</A>: <I><SPAN STYLE=\"word-break: break-all;\"> My homework question is: \r<BR>\n" );
document.write( "\n" );
document.write( "Solve (z+2)^-2/3=4\r<BR>\n" );
document.write( "\n" );
document.write( "This is what I did: \r<BR>\n" );
document.write( "\n" );
document.write( "2^-z/3 + 2^-2/3 = 3\r<BR>\n" );
document.write( "\n" );
document.write( "[1/(z+2)^2/3]^3 = 3^3\r<BR>\n" );
document.write( "\n" );
document.write( "1/(z+2)^2 = 27\r<BR>\n" );
document.write( "\n" );
document.write( "1/2^2+4z+4 = 27\r<BR>\n" );
document.write( "\n" );
document.write( "1= 27(z^2+4z+4)\r<BR>\n" );
document.write( "\n" );
document.write( "1= 27z^2+108z+108<BR>\n" );
document.write( "-1 from each side\r<BR>\n" );
document.write( "\n" );
document.write( "27z^2+108z+107=0\r<BR>\n" );
document.write( "\n" );
document.write( "From here I think Im supposed to factor but dont know what to do? \r<BR>\n" );
document.write( "\n" );
document.write( "Help?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #109313 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=109313\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve (z+2)^(-2/3)=4 \r<BR>\n" );
document.write( "\n" );
document.write( "Raise both sides to the (-3/2) power:\r<BR>\n" );
document.write( "\n" );
document.write( "[(z+2)^(-2/3)]^(-3/2) = 4^(-3/2)\r<BR>\n" );
document.write( "\n" );
document.write( "(z+2) = 2^-3\r<BR>\n" );
document.write( "\n" );
document.write( "z+2 = (1/8)\r<BR>\n" );
document.write( "\n" );
document.write( "z = (1/8)-(16/8)\r<BR>\n" );
document.write( "\n" );
document.write( "z = -15/8<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );