Pregunta
\( 3.1 .3 \frac{(-5)\left(2^{8}\right)}{-6+1} \times 5 \)
Ask by Fitzgerald Rodriquez. in South Africa
Mar 12,2025
Solución de inteligencia artificial de Upstudy
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The final result is 1190.4.
Solución
1. Write the expression as
\[
3.1 \times 0.3 \times \frac{(-5) \cdot 2^8}{-6+1} \times 5.
\]
2. Evaluate the exponent and the denominator:
- \(2^8=256\).
- \(-6+1=-5\).
The fraction becomes
\[
\frac{-5\times256}{-5}.
\]
3. Simplify the fraction:
- \(-5\times256=-1280\).
- \(\frac{-1280}{-5}=256\).
4. Substitute back into the expression:
\[
3.1 \times 0.3 \times 256 \times 5.
\]
5. Multiply step by step:
- \(3.1\times0.3=0.93\).
- \(256\times5=1280\).
- Finally, \(0.93\times1280=1190.4\).
The final result is
\[
1190.4.
\]
Respondido por UpStudy AI y revisado por un tutor profesional
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Simplifique esta solución Beyond the Answer
Let’s break this expression down! First, we calculate the exponent: \( 2^8 = 256 \). Now, substituting this back in, we have \( -5 \times 256 \). That simplifies to \( -1280 \). Next, we handle the denominator: \( -6 + 1 = -5 \). So we rewrite our expression: \( 3.1 \times 3 \frac{-1280}{-5} \times 5 \). When we divide \( -1280 \) by \( -5 \), it gives us \( 256 \). Now, the product becomes \( 3.1 \times 3 \times 256 \times 5 \). Multiply \( 3.1 \times 3 = 9.3 \) and then \( 9.3 \times 256 \) equals \( 2374.8 \). Finally, multiplying this by \( 5 \) gives us \( 11874 \). Voilà, the final answer is \( 11874 \)!
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