`[(140)^(2)div70xx16]div8=14xx?`

Options

A. 38
B. 22
C. 55
D. 40

Explanation

To solve the equation \([(140)^{2} \div 70 \times 16] \div 8 = 14 \times ?\), we will follow the order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). Let's break it down step by step.

### Step 1: Calculate \((140)^{2}\)
\[ (140)^{2} = 19600 \]

**Hint:** Remember that squaring a number means multiplying it by itself.

### Step 2: Divide by 70
\[ 19600 \div 70 = 280 \]

**Hint:** Division is the inverse operation of multiplication. Think of how many times 70 fits into 19600.

### Step 3: Multiply by 16
\[ 280 \times 16 = 4480 \]

**Hint:** When multiplying, you can break down the numbers. For example, you can multiply 280 by 10 and then by 6, and add the results.

### Step 4: Divide by 8
\[ 4480 \div 8 = 560 \]

**Hint:** Division can be thought of as distributing the total into equal parts. Here, you are distributing 4480 into 8 equal parts.

### Step 5: Set the equation to find ?
Now we have:
\[ 560 = 14 \times ? \]

### Step 6: Solve for ?
To find ?, we divide both sides by 14:
\[ ? = 560 \div 14 = 40 \]

**Hint:** To isolate the variable, perform the opposite operation. Here, since 14 is multiplied by ?, we divide by 14 to solve for ?.

### Final Answer:
The value of \( ? \) is \( 40 \).

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