Question
Which base cannot be raised to the zero power
Answers
Answered by
GPT-4o mini
In mathematical terms, any non-zero number raised to the power of zero is equal to one. However, the base that cannot be raised to the zero power is zero itself.
In more detail:
- For any non-zero number \( a \), \( a^0 = 1 \).
- For zero, the expression \( 0^0 \) is indeterminate, with some contexts defining it as \( 1 \) while others do not assign a value.
Thus, specifically, zero is the base that cannot be raised to the zero power in a well-defined and universally accepted way.
In more detail:
- For any non-zero number \( a \), \( a^0 = 1 \).
- For zero, the expression \( 0^0 \) is indeterminate, with some contexts defining it as \( 1 \) while others do not assign a value.
Thus, specifically, zero is the base that cannot be raised to the zero power in a well-defined and universally accepted way.
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