Final Answer:
This is one of the fundamental rules of exponents. Therefore, (-4.4)⁰ simplifies to 1.
Step-by-step explanation:
To simplify the expression (-4.4)⁰, we need to apply the mathematical principle that states any non-zero number raised to the 0th power is equal to 1.
Now, let's write at least two expressions equivalent to (-4.4)⁰ and explain why they are equivalent:
1. Equivalent Expression 1: 1
Explanation: As mentioned above, the rule for any non-zero number raised to the 0th power being equal to 1 applies here, making (-4.4)⁰ equal to 1.
This is a direct application of the exponent rule.
2. Equivalent Expression 2: 1 × 1
Explanation: The expression 1 × 1 simply means '1 multiplied by 1,' which equals 1.
Multiplication by 1 does not change the value of a number, so when 1 is multiplied by itself, the result remains 1.
This makes 1 × 1 equivalent to (-4.4)⁰ since they both result in the same value, which is 1.
Both of these expressions are equivalent to (-4.4)⁰ because they all equal the number 1.
This demonstrates the consistency of mathematical principles across different operations: the exponents rule and the identity property of multiplication.
So, the answer is 1.