document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=208136>Question 208136</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073533490/algebrahomeworkh>Elementary and intermediate algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Can someone help me solve these equations:\r<BR>\n" );
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document.write( "(w+3)^-1/3=1/3  and\r<BR>\n" );
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document.write( "(x+2)^3/2=-1\r<BR>\n" );
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document.write( "I have no clue where to start.<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #157476 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=157476\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28w%2B3%29%5E%28-1%2F3%29+=+1%2F3 ALIGN=MIDDLE  ALT=\"%28w%2B3%29%5E%28-1%2F3%29+=+1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Reciprocal gets rid of the negative exponent<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%28w%2B3%29%5E%281%2F3%29%29+=+1%2F3 ALIGN=MIDDLE  ALT=\"1%2F%28%28w%2B3%29%5E%281%2F3%29%29+=+1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Multiply both side by 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F%28%28w%2B3%29%5E%281%2F3%29%29+=+1 ALIGN=MIDDLE  ALT=\"3%2F%28%28w%2B3%29%5E%281%2F3%29%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Cube both sides:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27%2F%28%28w%2B3%29%29+=+1 ALIGN=MIDDLE  ALT=\"27%2F%28%28w%2B3%29%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "27 = w + 3<BR>\n" );
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document.write( "w = 24<BR>\n" );
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document.write( "Check solution on calc: enter <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2824%2B3%29%5E%28-1%2F3%29 ALIGN=MIDDLE  ALT=\"%2824%2B3%29%5E%28-1%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .333<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%5E%283%2F2%29 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%5E%283%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -1<BR>\n" );
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document.write( "Square both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%5E3 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = +1<BR>\n" );
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document.write( "Find the cube root of both sides:<BR>\n" );
document.write( "x + 2 = 1<BR>\n" );
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document.write( "x = 1 -2<BR>\n" );
document.write( "x = -1<BR>\n" );
document.write( "The problem here is if you substitute -1 for x in the original equation,<BR>\n" );
document.write( "you get +1 not -1, so there is no solution here </SPAN>\n" );
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