document.write( "Question 26242: How do i show for integers m and n and a natural number k that is greator and equal to 1.
\n" ); document.write( " m divides n right arrow m divides n^(k). \n" ); document.write( "

Algebra.Com's Answer #14309 by venugopalramana(3286) $\"\"$ $\"About$

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How do i show for integers m and n and a natural number k that is greator and equal to 1.
\n" ); document.write( "m divides n right arrow m divides n^(k).
\n" ); document.write( "M|N........HENCE....N=M*A ...WHERE A IS AN INTEGER
\n" ); document.write( "TPT....M|N^K
\n" ); document.write( "K IS AN INTEGER GREATER THAN EQUAL TO ONE .HENCE N^K=N*N*N.....K TIMES
\n" ); document.write( "HENCE N^K DIVIDED BY M = N*N*N...K TIMES/M=A*N*N*....(K-1)....
\n" ); document.write( "SINCE A,N ARE INTEGERS AND (K-1) IS ALSO AN INTEGER GREATER THAN ZERO WE PROVED THAT N^K/M IS AN INTEGER. HENCE M|N^K\r
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