Use the rule for order of operations to simplify the expression as much as possible:

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Use the rule for order of operations to simplify the expression as much as possible: $$ 4[3+2(8 \cdot 3-14)]= $$ Submit Question

UpStudy AI · Accepted Answer

To simplify the expression $$ 4[3 + 2(8 \cdot 3 - 14)] $$, we'll follow the **order of operations** (PEMDAS/BODMAS):

1. **Parentheses/Brackets**:
   Start with the innermost parentheses.

$$
   8 \cdot 3 - 14 = 24 - 14 = 10
   $$

Now the expression becomes:

$$
   4[3 + 2(10)]
   $$

2. **Multiplication**:
   Handle the multiplication inside the brackets.

$$
   2 \times 10 = 20
   $$

Now the expression is:

$$
   4[3 + 20]
   $$

3. **Addition**:
   Add the numbers inside the brackets.

$$
   3 + 20 = 23
   $$

So, we have:

$$
   4 \times 23
   $$

4. **Final Multiplication**:

$$
   4 \times 23 = 92
   $$

**Final Answer:** $$ 92 $$
$$ 92 $$

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