Question
zero power rule of exponents quick check
Answers
GPT-4o mini
The zero power rule of exponents states that any non-zero number raised to the power of zero equals one. In mathematical terms, this is expressed as:
\[ a^0 = 1 \quad \text{for any } a \neq 0 \]
Here are a few quick examples:
1. \( 5^0 = 1 \)
2. \( (-3)^0 = 1 \)
3. \( (1/2)^0 = 1 \)
4. \( 100^0 = 1 \)
However, it’s important to remember that this rule applies only to non-zero numbers; \( 0^0 \) is considered an indeterminate form in mathematics.
\[ a^0 = 1 \quad \text{for any } a \neq 0 \]
Here are a few quick examples:
1. \( 5^0 = 1 \)
2. \( (-3)^0 = 1 \)
3. \( (1/2)^0 = 1 \)
4. \( 100^0 = 1 \)
However, it’s important to remember that this rule applies only to non-zero numbers; \( 0^0 \) is considered an indeterminate form in mathematics.