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    why is anything to the zero power equal to one

    0  Views: 418 Answers: 1 Posted: 14 years ago

    1 Answer

    Its true that "Any number [ except 0] raised to the power zero is 1"


    Here is the explanation for you


    Consider, 2 ^ 0 


    = 2 ^ (1-1)   [ 1 -1 = 0]


     = 2^1 × 2^ ( -1)  [ Multiplication law of indices]


    = 2^1/ 2^1 [ Division law of indices]


    = 1


    But for 0 ^ 0 


    = = 0 ^ (1-1) [ 1 -1 = 0]


    = 0^1 × 0^ ( -1) [ Multiplication law of indices]


    = 0^1/ 0^1 [ Division law of indices]


    = 0/0 [ indeterminate form]


    = infinity [ value is undefined]


    Hope this helped you to some extent. Now share the idea with your friends too.


     


     



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