1. Zero as the base of an exponent: This is when you have something like 0 raised to a power, such as 0², 0³, or 0¹⁰. In this case:
* Any non-zero exponent applied to 0 results in 0.
2. Zero as the exponent: This is when you have a number raised to the power of 0, like 5⁰, 100⁰, or (-2)⁰. In this case:
* Any non-zero number raised to the power of zero equals 1. This is a fundamental rule of exponents.
Important note: 0⁰ (zero raised to the power of zero) is considered an undefined expression in most mathematical contexts. There's no universally agreed-upon value for it.
Let me know if you want more details on any of these cases!