$$ 1 \leftarrow \quad $$ Evaluate the expression using the order of operations. $$ \frac{2(-2)+\frac{6}{(-3)}+\frac{-(-12)}{(-\sqrt{9})}}{\sqrt{36}-1} $$

Question

UpStudy AI · Accepted Answer

To evaluate the expression using the order of operations (PEMDAS/BODMAS), let's break it down step by step:

$$
\frac{2(-2) + \frac{6}{-3} + \frac{-(-12)}{-\sqrt{9}}}{\sqrt{36} - 1}
$$

### Step 1: Simplify the Numerator

**1.** Calculate $$ 2(-2) $$:
$$
2 \times (-2) = -4
$$

**2.** Calculate $$ \frac{6}{-3} $$:
$$
\frac{6}{-3} = -2
$$

**3.** Simplify $$ \frac{-(-12)}{-\sqrt{9}} $$:

- Simplify the numerator:
$$
-(-12) = 12
$$

- Simplify the denominator:
$$
\sqrt{9} = 3 \
-\sqrt{9} = -3
$$

- Now, divide:
$$
\frac{12}{-3} = -4
$$

**4.** Add all the parts of the numerator together:
$$
-4 + (-2) + (-4) = -10
$$

### Step 2: Simplify the Denominator

$$
\sqrt{36} - 1
$$

- Calculate $$ \sqrt{36} $$:
$$
\sqrt{36} = 6
$$

- Subtract:
$$
6 - 1 = 5
$$

### Step 3: Combine Numerator and Denominator

$$
\frac{-10}{5} = -2
$$

**Final Answer:** $$-2$$
The final answer is $$-2$$.

Evaluate the expression using the order of operations.

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Solución

Step 1: Simplify the Numerator

Step 2: Simplify the Denominator

Step 3: Combine Numerator and Denominator

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