document.write( "Question 200002: Why does the base to the power of zero equal one? \n" ); document.write( "

Algebra.Com's Answer #150366 by RAY100(1637) $\"\"$ $\"About$

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\n" ); document.write( "a = a^1,,,,,, a*a = a^2,,, a*a*a = a^3,,,,etc
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\n" ); document.write( "if we had a^3 /a^2 = (a*a*a) / (a*a) = a,,,,,or a^(3-2) = a^1 =a
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\n" ); document.write( "Now if we had a^3 /a^3 = (a*a*a) / (a*a*a) =1,,,,,,or a(3-3) = a^0
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\n" ); document.write( "Therefore we have a^0 = 1
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