document.write( "Question 223547: What is the prime factorization of 999 to the 10th power?\r
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Algebra.Com's Answer #167553 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
It would be a huge waste of time and effort and make the problem extremely difficult to actually try to raise 999 to the 10th power. What we will do is find the prime factorization of 999.

\n" ); document.write( " $\"999%5E10\"$
\n" ); document.write( "3 will divide into 999:
\n" ); document.write( " $\"%283%2A333%29%5E10\"$
\n" ); document.write( "3 will divide into 333:
\n" ); document.write( " $\"%283%2A3%2A111%29%5E10\"$
\n" ); document.write( "3 will divide into 111:
\n" ); document.write( " $\"%283%2A3%2A3%2A37%29%5E10\"$
\n" ); document.write( "37 is prime so we have all our prime factors. We just need to simplify:
\n" ); document.write( " $\"%283%5E3%2A37%29%5E10\"$
\n" ); document.write( " $\"3%5E30%2A37%5E10\"$ \n" ); document.write( "

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