Question
a) \( 16^{2 / 4}+811 / 4= \)
Ask by Washington Sherman. in Brazil
Feb 04,2025
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Tutor-Verified Answer
Answer
A resposta é 206,75.
Solution
Vamos resolver a expressão passo a passo:
\[ 16^{2 / 4} + \frac{811}{4} \]
1. **Calcular \( 16^{2/4} \):**
\[ 16^{2/4} = 16^{1/2} = \sqrt{16} = 4 \]
2. **Calcular \( \frac{811}{4} \):**
\[ \frac{811}{4} = 202,75 \]
3. **Somar os resultados obtidos:**
\[ 4 + 202,75 = 206,75 \]
**Resposta final:**
\[ 16^{2 / 4} + \frac{811}{4} = 206,75 \]
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Extra Insights
To solve the expression \( 16^{2 / 4} + 811 / 4 \), we first simplify each part. The exponent \( 2 / 4 \) simplifies to \( 1 / 2 \), so \( 16^{2 / 4} \) becomes \( 16^{1/2} \), which is simply the square root of 16. Thus, \( \sqrt{16} = 4 \). Next, we evaluate \( 811 / 4 \). When you divide 811 by 4, you get \( 202.75 \). Now, we combine the two results: \[ 4 + 202.75 = 206.75. \] So, the final answer is \( 206.75 \).