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.