Simplify:- 256 * 24 ÷ 32 ÷ 3 = ?^2

Options

A. a. 6
B. b. 8
C. c. 10
D. d. 7

Answer

To simplify the expression \( 256 \times 24 \div 32 \div 3 \) and express it in the form \( ?^2 \), we can follow these steps:

### Step 1: Rewrite the Expression
Start with the original expression:
\[ 256 \times 24 \div 32 \div 3 \]
We can rewrite the division as multiplication by the reciprocal:
\[ 256 \times 24 \times \frac{1}{32} \times \frac{1}{3} \]

### Step 2: Simplify the Expression
Now, we can simplify the expression step by step:
1. First, calculate \( 256 \div 32 \):
\[ 256 \div 32 = 8 \]
So, we can replace \( 256 \div 32 \) with \( 8 \):
\[ 8 \times 24 \div 3 \]

2. Next, calculate \( 24 \div 3 \):
\[ 24 \div 3 = 8 \]
Now, we can replace \( 24 \div 3 \) with \( 8 \):
\[ 8 \times 8 \]

### Step 3: Final Calculation
Now, multiply the two results:
\[ 8 \times 8 = 64 \]

### Step 4: Express in the Form \( ?^2 \)
We need to express \( 64 \) as \( ?^2 \):
\[ 64 = 8^2 \]

Thus, we have:
\[ ? = 8 \]

### Final Answer
The simplified value is:
\[ ? = 8 \]