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\( 24^{0} = 1 \)
Solución
a) \( 24^{0} \)
**Solution:**
Any non-zero number raised to the power of 0 is equal to 1. This is a fundamental property of exponents.
\[
24^{0} = 1
\]
**Explanation:**
- **Exponent Rule:** \( a^{0} = 1 \) (where \( a \neq 0 \))
This rule applies because exponents represent repeated multiplication. For example:
\[
a^{n} = a \times a \times \dots \times a \quad \text{(n times)}
\]
When \( n = 0 \), it implies that there are no factors of \( a \), and by definition, the product of no numbers is 1.
**Conclusion:**
\( 24^{0} = 1 \)
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Simplifique esta solución Mind Expander
Did you know that any non-zero number raised to the power of zero equals one? So, \( 24^0 = 1 \)! This little math nugget can be traced back to the rules of exponents, making it one of the fun quirks of mathematical principles. In real-world applications, you might encounter this rule in fields like computer science and physics, where calculations often simplify. For example, when determining coefficients in polynomial equations or dealing with powers in algorithms, knowing that anything to the zero power is one can help streamline your work and avoid unnecessary complexity!
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