document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=482001>Question 482001</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (-2) to the 5th power + (-5) to the 2nd power. I get really confused on how to do these. I have tried over and over again and I still can't get the right answer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #330035 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=330035\">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=+%28-2%29%5E5+%2B+%28-5%29%5E2+ ALIGN=MIDDLE  ALT=\"+%28-2%29%5E5+%2B+%28-5%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can always write these out the long way <BR>\n" );
document.write( "( if the numbers aren't very big ) and look at them<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-2%29%2A%28-2%29%2A%28-2%29%2A%28-2%29%2A%28-2%29+%2B+%28-5%29%2A%28-5%29+ ALIGN=MIDDLE  ALT=\"+%28-2%29%2A%28-2%29%2A%28-2%29%2A%28-2%29%2A%28-2%29+%2B+%28-5%29%2A%28-5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The main thing to notice is that there are an odd number of<BR>\n" );
document.write( "(-2)'s and an even number of (-5)'s<BR>\n" );
document.write( "Think of the (-2)'s grouped in pairs with one left over<BR>\n" );
document.write( "(-2)*(-2) this is positive<BR>\n" );
document.write( "(-2)*(-2) also positive<BR>\n" );
document.write( "(-2) this is negative<BR>\n" );
document.write( "So, you have (+) x (+) x (-) = (-)<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "What if it was <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-2%29%5E67+ ALIGN=MIDDLE  ALT=\"+%28-2%29%5E67+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ?<BR>\n" );
document.write( "You would pair these up the same way, so you'd have<BR>\n" );
document.write( "a bunch of (+) x (+) x (+) . . . etc and one (-) left. that would<BR>\n" );
document.write( "give you a minus result<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Back to your problem, then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-2%29%5E5+=+-32+ ALIGN=MIDDLE  ALT=\"+%28-2%29%5E5+=+-32+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-5%29%5E2+=+25+ ALIGN=MIDDLE  ALT=\"+%28-5%29%5E2+=+25+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-32+%2B+25+=+-7+ ALIGN=MIDDLE  ALT=\"+-32+%2B+25+=+-7+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "OK?<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );