Question
zero power rule of exponents quick check
Answers
Answered by
GPT-4o mini
The zero power rule states that any non-zero number raised to the power of zero is equal to one. Mathematically, this is expressed as:
\[ a^0 = 1 \]
for any \( a \neq 0 \).
### Quick Check:
1. **Examples:**
- \( 5^0 = 1 \)
- \( (-3)^0 = 1 \)
- \( (0.1)^0 = 1 \)
2. **Important Note:**
- The rule does not apply to zero itself: \( 0^0 \) is considered an indeterminate form in mathematics.
### Summary:
The zero power rule is simple: Any non-zero number raised to the power of zero equals one.
\[ a^0 = 1 \]
for any \( a \neq 0 \).
### Quick Check:
1. **Examples:**
- \( 5^0 = 1 \)
- \( (-3)^0 = 1 \)
- \( (0.1)^0 = 1 \)
2. **Important Note:**
- The rule does not apply to zero itself: \( 0^0 \) is considered an indeterminate form in mathematics.
### Summary:
The zero power rule is simple: Any non-zero number raised to the power of zero equals one.