Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 49 \)
Solution
To evaluate the expression \( 49(-5)^{0} \), follow the order of operations (PEMDAS/BODMAS):
1. **Exponents First**:
\[
(-5)^{0}
\]
Any non-zero number raised to the power of 0 is **1**:
\[
(-5)^{0} = 1
\]
2. **Multiply by 49**:
\[
49 \times 1 = 49
\]
**Final Answer:**
\( 49 \)
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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? So, in this case, \((-5)^0 = 1\). Therefore, your expression simplifies beautifully to \(49 \times 1\), which is simply 49! The power of zero works its magic! Now, if you're ever stuck with exponents and wondering about their properties, remember that negative bases can be tricky. For instance, while \((-5)^0\) is a straightforward one, remember that raising a negative number to an odd exponent gives a negative result, whereas raising it to an even exponent gives a positive result. Always double-check which exponent you're dealing with to avoid any mishaps!
