document.write( "Question 273074: Simplify.
\n" ); document.write( "(u^4)^-7
\n" ); document.write( "Write your answer without using negative exponents. \n" ); document.write( "

Algebra.Com's Answer #199543 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
The general rules for powers raised to powers are:
\n" ); document.write( "(1) $\"%28a%5Eb%29%5Ec+=+a%5E%28b%2Ac%29\"$
\n" ); document.write( "(2) $\"%28a%5E%28-b%29%29%5Ec+=+a%5E%28-b%2Ac%29\"$
\n" ); document.write( "(3) $\"%28a%5Eb%29%5E%28-c%29+=+a%5E%28b%2A%28-c%29%29\"$
\n" ); document.write( "(4) $\"%28a%5E%28-b%29%29%5E%28-c%29+=+a%5E%28%28-b%29%2A%28-c%29%29\"$
\n" ); document.write( "The other rules you need are
\n" ); document.write( "(5) $\"1%2F%28a%5Eb%29+=+a%5E%28-b%29\"$
\n" ); document.write( "(6) $\"1%2F%28a%5E%28-b%29%29+=+a%5Eb\"$
\n" ); document.write( "Notice that (1) and (4) give the same result, and
\n" ); document.write( "(2) and (3) give the same result
\n" ); document.write( "-------------------------
\n" ); document.write( " $\"%28u%5E4%29%5E%28-7%29+=+1%2F%28u%5E4%29%5E7\"$ (this is just rule (5) backwards)
\n" ); document.write( "

\n" ); document.write( " $\"%28u%5E4%29%5E%28-7%29+=+1%2Fu%5E%284%2B4%2B4%2B4%2B4%2B4%2B4%29\"$
\n" ); document.write( " $\"%28u%5E4%29%5E%28-7%29+=+1%2Fu%5E28\"$
\n" ); document.write( " $\"%28u%5E4%29%5E%28-7%29+=+u%5E%28-28%29\"$
\n" ); document.write( "This is just rule (3) \n" ); document.write( "

\n" );