document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=75504>Question 75504</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What expression raised to the fourth power is 81x12y8z16? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #54223 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=54223\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Take the one-forth power of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=81%2Ax%5E12%2Ay%5E8%2Az%5E16 ALIGN=MIDDLE  ALT=\"81%2Ax%5E12%2Ay%5E8%2Az%5E16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "When you do you can write this as:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2881%2Ax%5E12%2Ay%5E8%2Az%5E16%29%5E%281%2F4%29 ALIGN=MIDDLE  ALT=\"%2881%2Ax%5E12%2Ay%5E8%2Az%5E16%29%5E%281%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "This can be \"expanded\" by raising each of the 4 factors to the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > power to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=81%5E%281%2F4%29%2A%28x%5E12%29%5E%281%2F4%29%2A%28y%5E8%29%5E%281%2F4%29%2A%28z%5E16%29%5E%281%2F4%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "You can use a calculator (or you may be able to figure out) that the 4th root of 81 is <BR>\n" );
document.write( "either plus 3 or minus 3. For each of the other factors you can follow the power rule and <BR>\n" );
document.write( "multiply the exponent of the term by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  When you do that you get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E12%29%5E%281%2F4%29+=+x%5E%2812%2A%281%2F4%29%29=+x%5E%2812%2F4%29+=+x%5E3 ALIGN=MIDDLE  ALT=\"%28x%5E12%29%5E%281%2F4%29+=+x%5E%2812%2A%281%2F4%29%29=+x%5E%2812%2F4%29+=+x%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28y%5E8%29%5E%281%2F4%29+=+y%5E%288%2A%281%2F4%29%29+=+y%5E%288%2F4%29+=+y%5E2 ALIGN=MIDDLE  ALT=\"%28y%5E8%29%5E%281%2F4%29+=+y%5E%288%2A%281%2F4%29%29+=+y%5E%288%2F4%29+=+y%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and, finally<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28z%5E16%29%5E%281%2F4%29+=+z%5E%2816%2A%281%2F4%29%29+%2B+z%5E%2816%2F4%29+=+z%5E4 ALIGN=MIDDLE  ALT=\"%28z%5E16%29%5E%281%2F4%29+=+z%5E%2816%2A%281%2F4%29%29+%2B+z%5E%2816%2F4%29+=+z%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "When you multiply all four of these results together you get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2B3%2Ax%5E3%2Ay%5E2%2Az%5E4 ALIGN=MIDDLE  ALT=\"%2B3%2Ax%5E3%2Ay%5E2%2Az%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2Ax%5E3%2Ay%5E2%2Az%5E4 ALIGN=MIDDLE  ALT=\"-3%2Ax%5E3%2Ay%5E2%2Az%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and those two are the answers to the problem. You can check by multiplying both the answers<BR>\n" );
document.write( "times themselves 4 times (four factors multiplied together) and see if you don't get back to <BR>\n" );
document.write( "the original expression. </SPAN>\n" );
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