Pregunta
b) \( 36(-5)^{0} \)
Ask by Alexander Huang. in the United States
Jan 24,2025
Solución de tutoría real
Respuesta verificada por el tutor
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\( 36 \)
Solución
To evaluate the expression \( 36(-5)^{0} \), follow these steps:
1. **Understand the Exponent Rule:**
Any non-zero number raised to the power of 0 is equal to 1. This is a fundamental rule of exponents:
\[
a^{0} = 1 \quad \text{(where } a \neq 0\text{)}
\]
Applying this to \((-5)^{0}\):
\[
(-5)^{0} = 1
\]
2. **Multiply by 36:**
Now, multiply the result by 36:
\[
36 \times 1 = 36
\]
3. **Final Answer:**
\[
36(-5)^{0} = 36
\]
**Answer:** \( 36 \)
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Mind Expander
Did you know that any non-zero number raised to the power of zero is equal to one? This means that \((-5)^0 = 1\). So, when you're calculating \(36(-5)^{0}\), it simplifies to \(36 \times 1\), which is simply 36. Next time you're faced with exponents, remember that this little rule makes calculations much easier! It's a handy trick to help you sail through math problems without breaking a sweat. Just think of the power of zero as a magic wand transforming any number to one!
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