document.write( "Question 205168: Prove that any number raised to the 0'th power equals 1 \n" ); document.write( "
Algebra.Com's Answer #154883 by Edwin McCravy(20056)\"\" \"About 
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Prove that any number raised to the 0'th power equals 1.
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document.write( "That's not quite true because \"0%5E0\" is undefined, not 1.\r\n" );
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document.write( "But any other number to the zero power is indeed 1.\r\n" );
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document.write( "The reason it is 1 is because you can take any non-zero exponent,\r\n" );
document.write( "say, 7, and consider this:\r\n" );
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document.write( "\"x%5E7%2Fx%5E7\"\r\n" );
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document.write( "That must equal 1 because when you divide a number by itself,\r\n" );
document.write( "you must get 1. So\r\n" );
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document.write( "\"x%5E7%2Fx%5E7=1\"\r\n" );
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document.write( "Now if the law of subtraction of exponents is to hold true, then\r\n" );
document.write( "if we do that same problem by subtracting exponents we get\r\n" );
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document.write( "\"x%5E7%2Fx%5E7=x%5E%287-7%29=x%5E0\"\r\n" );
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document.write( "So \"x%5E0=1\"\r\n" );
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document.write( "Edwin
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