Question
Real Tutor Solution
Tutor-Verified Answer
Answer
The value of \( 49(-9)^{0} \) is 49.
Solution
To evaluate the expression \( 49(-9)^{0} \), follow these steps:
1. **Understand the Exponent Rule**:
Any non-zero number raised to the power of 0 is equal to 1. Mathematically, this is expressed as:
\[
a^0 = 1 \quad \text{(where } a \neq 0\text{)}
\]
2. **Apply the Rule to the Given Expression**:
In the expression \( 49(-9)^{0} \), the base is \(-9\). Applying the exponent rule:
\[
(-9)^{0} = 1
\]
3. **Multiply by 49**:
Now, multiply 49 by the result:
\[
49 \times 1 = 49
\]
**Final Answer**:
\[
49
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
Did you know that any non-zero number raised to the power of zero equals one? This means that \((-9)^0\) equals 1. So, simplifying \(49(-9)^{0}\) turns into \(49 \times 1\), which equals 49! You can use this concept in various scenarios in mathematics! For instance, when simplifying polynomial expressions or dealing with exponential functions, recognizing that any number (except zero) raised to the power of zero is just one can save you time and avoid common errors in calculations.
