Question
) \( -3.5\left[9-\frac{10}{5}(2)^{3}-5\left(\frac{27}{9}\right)+11\right]= \)
Ask by Ward Hilton. in Mexico
Feb 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
La expresión simplifica a 38.5.
Solution
Calculate or simplify the expression \( -3.5*(9-(10/5)*(2^3)-5*(27/9)+11) \).
Calculate the value by following steps:
- step0: Calculate:
\(-3.5\left(9-\left(\frac{10}{5}\right)\times 2^{3}-5\left(\frac{27}{9}\right)+11\right)\)
- step1: Divide the terms:
\(-3.5\left(9-2\times 2^{3}-5\left(\frac{27}{9}\right)+11\right)\)
- step2: Divide the terms:
\(-3.5\left(9-2\times 2^{3}-5\times 3+11\right)\)
- step3: Calculate:
\(-3.5\left(9-2^{4}-5\times 3+11\right)\)
- step4: Multiply the numbers:
\(-3.5\left(9-2^{4}-15+11\right)\)
- step5: Calculate:
\(-3.5\left(-11\right)\)
- step6: Multiply the numbers:
\(38.5\)
La expresión \( -3.5\left[9-\frac{10}{5}(2)^{3}-5\left(\frac{27}{9}\right)+11\right] \) se simplifica a \( 38.5 \) o \( \frac{77}{2} \) o \( 38\frac{1}{2} \).
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Simplify this solution Beyond the Answer
To unravel this expression, let's start simplifying the inside of the brackets step by step. First, we calculate \( (2)^3 = 8 \), and \( \frac{10}{5} = 2 \). That gives us \( 2 \times 8 = 16 \). Next, we know that \( \frac{27}{9} = 3 \), so \( 5 \times 3 = 15 \). Now we can substitute those values back into the expression: \( 9 - 16 - 15 + 11 \). Now, let's simplify from left to right: \( 9 - 16 = -7 \), then \( -7 - 15 = -22 \), and finally \( -22 + 11 = -11 \). Now we have: \( -3.5[-11] = 38.5 \). So, the final answer is: \( 38.5 \).
