document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1185535>Question 1185535</A>: <I><SPAN STYLE=\"word-break: break-all;\"> IF we  66^66÷64 what is remainder? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #816370 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=816370\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The number 66 contains one prime factor of 2 (66 = 2*3*11).<br><BR>\n" );
document.write( "So the number 66^66 contains 66 prime factors of 2.<br><BR>\n" );
document.write( "The divisor 64 is 2^6; that is, it contains 6 prime factors of 2.<br><BR>\n" );
document.write( "So when 66^66 is divided by 64, there are plenty of factors of 2 in 66^66 to be canceled with the 6 factors of 2 in 64; the remainder is 0.<br><BR>\n" );
document.write( "Formally....<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=66%5E66+=+%282%2A3%2A11%29%5E66 ALIGN=MIDDLE  ALT=\"66%5E66+=+%282%2A3%2A11%29%5E66\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=66%5E66%2F64+=+66%5E66%2F64+=+%28%282%5E66%29%283%5E66%29%2811%5E66%29%29%2F%282%5E6%29+=+%282%5E60%29%283%5E66%29%2811%5E66%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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