document.write( "Question 118664: explain why a^0 =1 for any nonzero value of a. \n" ); document.write( "

Algebra.Com's Answer #86792 by scott8148(6628) $\"\"$ $\"About$

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when quantities having the same bases are divided, the exponents are subtracted\r
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\n" ); document.write( "\n" ); document.write( "(2^6)/(2^2)=2^(6-2) ___ (2^6)/(2^2)=2^4 ___ 64/4=16\r
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\n" ); document.write( "\n" ); document.write( "if the exponents are the same ___ (2^3)/(2^3)=2^(3-3) ___ (2^3)/(2^3)=2^0 ___ 8/8=1\r
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\n" ); document.write( "\n" ); document.write( "in this case, a=2 ___ a can be any value except for zero (division by zero is undefined) \n" ); document.write( "

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