why is anything to the zero power equal to one

0  Views: 321 Answers: 1 Posted: 12 years ago

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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