document.write( "Question 1104911: Simplify. Your answer should contain only positive exponents\r
\n" ); document.write( "\n" ); document.write( "(2mn^4)^4 * 2m^-1n^2
\n" ); document.write( "

Algebra.Com's Answer #719635 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "\"%282mn%5E4%29%5E4+%2A+2m%5E-1n%5E2\"

\n" ); document.write( "You need to \"distribute\" the exponent 4 to all of the factors inside the parentheses:
\n" ); document.write( "\"%282mn%5E4%29%5E4+=+%282%5E4%29%28m%5E4%29%28n%5E4%29%5E4+=+16m%5E4n%5E16\"

\n" ); document.write( "Then for
\n" ); document.write( "\"%2816m%5E4n%5E16%29%2A2m%5E-1n%5E2\"
\n" ); document.write( "you need to use normal multiplication for the coefficients and your rules of exponents for the variables.
\n" ); document.write( "\"16%2A2=32\"; \"%28m%5E4%29%28m%5E-1%29+=+m%5E%284-1%29+=+m%5E3\"; \"%28n%5E16%29%28n%5E2%29+=+n%5E%2816%2B2%29+=+n%5E18\"

\n" ); document.write( "The final simplified expression is \"32m%5E3n%5E18\"
\n" ); document.write( "
\n" );