document.write( "Question 112650: Explain why 2 to the -3 power equals to 1 over 2 to the 3 power? \n" ); document.write( "

Algebra.Com's Answer #82137 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"2%5E-3\"$
\n" ); document.write( "What do I get if I multiply by $\"2%5E3\"$ ?
\n" ); document.write( " $\"%282%5E-3%29%282%5E3%29+=+2%5E%28-3+%2B+3%29\"$
\n" ); document.write( " $\"%282%5E-3%29%282%5E3%29+=+2%5E0\"$
\n" ); document.write( " $\"2%5E0+=+1\"$
\n" ); document.write( "Now what do I get if I multiply $\"1+%2F+2%5E3\"$ by $\"2%5E3\"$ ?
\n" ); document.write( " $\"%281+%2F+2%5E3%29%2A%282%5E3%29+=+1\"$
\n" ); document.write( "I can replace the 2 by any other number and the 3 by any other
\n" ); document.write( "number and this is still true.
\n" ); document.write( " $\"2%5E-3+=+1+%2F+2%5E3\"$ \n" ); document.write( "

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