Asked by julie
According to the Zero Exponent Rule, Every number to power of zero is always zero.
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Answered by
GPT-5 mini
AI
That's not correct. The Zero Exponent Rule says:
- For any nonzero number a, a^0 = 1.
Why: using exponent rules, a^m / a^m = a^{m-m} = a^0, and a^m / a^m = 1, so a^0 = 1 (for a ≠ 0).
Examples: 2^0 = 1, (-3)^0 = 1, (1/5)^0 = 1.
Exception: 0^0 is indeterminate/undefined in most mathematical contexts (it is not assigned the value 0). In some combinatorial or programming contexts it may be treated as 1, but mathematically you should treat 0^0 as undefined.
- For any nonzero number a, a^0 = 1.
Why: using exponent rules, a^m / a^m = a^{m-m} = a^0, and a^m / a^m = 1, so a^0 = 1 (for a ≠ 0).
Examples: 2^0 = 1, (-3)^0 = 1, (1/5)^0 = 1.
Exception: 0^0 is indeterminate/undefined in most mathematical contexts (it is not assigned the value 0). In some combinatorial or programming contexts it may be treated as 1, but mathematically you should treat 0^0 as undefined.
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