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zero power rule of exponets
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GPT-4o mini
The zero power rule of exponents states that any non-zero base raised to the power of zero is equal to one. In mathematical terms, if \( a \) is any non-zero number (or base), then:
\[
a^0 = 1
\]
This rule applies to all non-zero numbers, whether they are integers, fractions, or decimals. For example:
- \( 5^0 = 1 \)
- \( (−3)^0 = 1 \)
- \( \left(\frac{1}{2}\right)^0 = 1 \)
It's important to note that the expression \( 0^0 \) is considered indeterminate in some contexts, although in many mathematical conventions it is often defined as \( 1 \) for convenience.
\[
a^0 = 1
\]
This rule applies to all non-zero numbers, whether they are integers, fractions, or decimals. For example:
- \( 5^0 = 1 \)
- \( (−3)^0 = 1 \)
- \( \left(\frac{1}{2}\right)^0 = 1 \)
It's important to note that the expression \( 0^0 \) is considered indeterminate in some contexts, although in many mathematical conventions it is often defined as \( 1 \) for convenience.
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