Pregunta
Use the zero-exponent rule to simplify the following expression. \( (-10)^{0} \) \( (-10)^{0}=\square \)
Ask by Gross Lane. in the United States
Jan 24,2025
Solución de tutoría real
Respuesta verificada por el tutor
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\[
(-10)^{0} = 1
\]
Solución
According to the **zero-exponent rule**, any non-zero number raised to the power of 0 is equal to 1. Mathematically, this is expressed as:
\[
x^0 = 1 \quad \text{for} \quad x \neq 0
\]
Applying this rule to the given expression:
\[
(-10)^0 = 1
\]
**Answer:**
\[
(-10)^{0} = 1
\]
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The Deep Dive
Any non-zero number raised to the power of zero is equal to one. This means that regardless of the base, as long as it's not zero, the result will always be the same. So, for \( (-10)^0 \), we can confidently say it simplifies to 1. Thus, \( (-10)^0 = 1 \).
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