document.write( "Question 150035: I am interested in finding a simple explanation as to why a number taken to a zero power is equal to 1.
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Algebra.Com's Answer #110134 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
The simplest explanation is because someone said so.
\n" ); document.write( "From exponentiation, you know the division rule that,
\n" ); document.write( " $\"x%5EM%2Fx%5EN=X%5E%28M-N%29\"$
\n" ); document.write( "If M=N, then
\n" ); document.write( " $\"x%5EM%2Fx%5EM=x%5E%28M-M%29\"$
\n" ); document.write( " $\"1=x%5E%280%29\"$
\n" ); document.write( "If it was not the case, then that example wouldn't hold up.
\n" ); document.write( "You would disprove the division rule.
\n" ); document.write( "Your mathematical system would fall apart.
\n" ); document.write( "That definition is that way so that your mathematical system remains sound and consistent.
\n" ); document.write( "That's a simple answer, but it's actually a very complicated question. \r
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