document.write( "Question 118663: Whaqt is the remainder when 2008^2007 is divided by 5 \n" ); document.write( "
Algebra.Com's Answer #86790 by scott8148(6628)\"\" \"About 
You can put this solution on YOUR website!
look at the units digit for powers of 8\r
\n" ); document.write( "\n" ); document.write( "8^1=8
\n" ); document.write( "8^2=64
\n" ); document.write( "8^3=512
\n" ); document.write( "8^4=4096
\n" ); document.write( "8^5=32768 ___ same units digit as 8^1 ___ the units digit repeats in a 4 number pattern 8-4-2-6\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "2007 divided by 4 leaves a remainder of 3 ___ so the units digit of 2008^2007 is 2
\n" ); document.write( "___ this is the remainder when 2008^2007 is divided by 5
\n" ); document.write( "
\n" );