document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=107576>Question 107576</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 4.7=x^1/3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #78359 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=78359\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given the equation:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.7=x%5E%281%2F3%29 ALIGN=MIDDLE  ALT=\"4.7=x%5E%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "To get rid of the exponent on the right side, you can cube the right side (that is, raise<BR>\n" );
document.write( "the entire right side to the exponent 3). But if you do that you must also cube the left side.<BR>\n" );
document.write( "Cubing both sides makes the equation become:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284.7%29%5E3+=+%28x%5E%281%2F3%29%29%5E3 ALIGN=MIDDLE  ALT=\"%284.7%29%5E3+=+%28x%5E%281%2F3%29%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "On the right side, by the power rule of exponents, you just multiply the two exponents<BR>\n" );
document.write( "(that is you multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > times <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the result becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29%2A3+=+1 ALIGN=MIDDLE  ALT=\"%281%2F3%29%2A3+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So the<BR>\n" );
document.write( "right side becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E1 ALIGN=MIDDLE  ALT=\"x%5E1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and this is just <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "On the left side you cube 4.7 and this is equal to 4.7 times 4.7 times 4.7 which multiplies <BR>\n" );
document.write( "out to 103.823. So the equation becomes:<BR>\n" );
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document.write( "103.823 = x <BR>\n" );
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document.write( "or in more conventional form:<BR>\n" );
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document.write( "x = 103.823<BR>\n" );
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document.write( "The answer to the original problem is, therefore, x = 103.823. Hope this helps you to <BR>\n" );
document.write( "understand the problem and how to work it.<BR>\n" );
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