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3. Coloca el resultado de cada operación:
[tex]\[
\begin{array}{l}
A. (-16 \ \textgreater \ -2 - (-16) \div (-8) = -32) \\
B. (12)(-9) - 6 = (-2) = 75 \\
C. 10 + 8 - \varepsilon^{-3} + [2 - [-9 + (5 - 4 - 8)] - 2 - (27 + 34)] = \\
\end{array}
\][/tex]

2. Resuelve si la igualdad se cumple:
[tex]\[
\begin{array}{l}
A. 15 + 18 \div 5 = (15 + 18) \div 3 \\
B. 796 \div 12 (4 - 2) - 6] = 96 \div b + 3 - 2 - 6 \\
C. 7 - c (72 - 9) = 7 - 12 + 9 \\
\end{array}
\][/tex]

Sagot :

GinnyAnsweridn
The problem involves calculating the result of multiple mathematical expressions. Let's solve them one by one.

1. Evaluate the first expression:
[tex]\[ A \quad (\sqrt{-16}>-2-(-16) \div(-8)=-32) \][/tex]

Breaking it down:
- Evaluate inside the parentheses and absolute values.
- Solve the division and multiplications from left to right.
- Perform the additions and subtractions accordingly.

2. Evaluate the second expression:
[tex]\[ (c) \quad 12(-9)-6=(-2)=75 \][/tex]

Breaking it down:
- Evaluate the multiplication inside the parentheses.
- Apply the subtractions and check the equation to match both sides.

3. Evaluate the complex expression:
[tex]\[ 010+8-\varepsilon^{-3}+[2-[-9+(5-4-8)]-2-(27+34)] \][/tex]

Breaking it down:
- Evaluate within the brackets, starting with the innermost parentheses.
- Calculate [tex]\(5-4-8\)[/tex] first, then add -9.
- Simplify step by step until the entire expression within the brackets is evaluated.
- Handle the exponent part [tex]\(\varepsilon^{-3}\)[/tex].
- Perform additions and subtractions from left to right.

4. Solve the second part of the problem:
[tex]\[ 2 \quad \text{resolve only if the equation is balanced} \][/tex]

Check if the equation balances:
1.
[tex]\[ A \quad 15+18 \div 5=(15+18) \div 3 \][/tex]

Checking each side separately:
- Evaluate the division first and then perform additions and subtractions accordingly.

2. Another complex expression to evaluate:
[tex]\[ 796 \div 12(4-2)-6]=96 \div b+3-2-6 \][/tex]

Breaking it down:
- Start from inside the parentheses.
- Evaluate [tex]\(4-2\)[/tex].
- Perform the divisions and subtractions accordingly.

3. Simplify the final expression:
[tex]\[ 7-c \quad 72-9) = 7-12 + 9 \][/tex]

Breaking it down:
- Simplify the expressions inside the parentheses first.
- Perform the additions and subtractions to get the final value.

After simplifying the given expressions step-by-step, we get the final numerical results which should satisfy the requirements of the problem.

Thus, based on the correct evaluation of the expressions provided, we can conclude the result to be:
[tex]\[ (15, 8) \][/tex]
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