document.write( "Question 357250: what is the remainder when 3^31 is divided by 10? \n" ); document.write( "

Algebra.Com's Answer #255146 by robertb(5830) $\"\"$ $\"About$

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$\"3%5E1+=+3+mod10\"$ ,
\n" ); document.write( " $\"3%5E2+=+9+mod10\"$ ,
\n" ); document.write( " $\"3%5E3+=+7+mod10\"$ ,
\n" ); document.write( " $\"3%5E4+=+1+mod10\"$ .
\n" ); document.write( " $\"3%5E31+=+3%5E28%2A3%5E3+=+%283%5E4%29%5E7%2A3%5E3++=1%2A7+mod10+=+7+mod+10\"$ .
\n" ); document.write( "Therefore the remainder is 7. \n" ); document.write( "

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