johnnybell60
johnnybell60
01-03-2024
Mathematics
contestada
Evaluate $\frac{2^{-4}}{4^0}$ .
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kaydenmitchem
kaydenmitchem
01-03-2024
To evaluate the expression $\frac{2^{-4}}{4^0}$, follow these steps:
1. **Simplify the exponents:**
- $2^{-4}$ means $\frac{1}{2^4}$, which equals $\frac{1}{16}$.
- $4^0$ equals 1, as any number raised to the power of 0 is 1.
2. **Substitute the simplified values:**
- Substitute $\frac{1}{16}$ for $2^{-4}$ and 1 for $4^0$ in the expression: $\frac{\frac{1}{16}}{1}$.
3. **Simplify the division:**
- Dividing by 1 is the same as the numerator, so the expression simplifies to $\frac{1}{16}$.
Therefore, the result of $\frac{2^{-4}}{4^0}$ is $\frac{1}{16}$.
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