What should come in place of the question mark (?) in the following questions:
`(6)^2 xx (9)^2 -: (3)^2 = (?) xx 5`

Options

A. 21.6
B. 64.8
C. 540
D. 504

Answer

To solve the equation \( (6)^2 \times (9)^2 \div (3)^2 = (?) \times 5 \), we will follow these steps:

### Step 1: Calculate \( (6)^2 \)
\[ (6)^2 = 36 \]

### Step 2: Calculate \( (9)^2 \)
\[ (9)^2 = 81 \]

### Step 3: Calculate \( (3)^2 \)
\[ (3)^2 = 9 \]

### Step 4: Substitute the values into the equation
Now we substitute these values back into the equation:
\[ 36 \times 81 \div 9 = (?) \times 5 \]

### Step 5: Perform the division
First, we can simplify \( 36 \div 9 \):
\[ 36 \div 9 = 4 \]

### Step 6: Multiply the result by \( 81 \)
Now we multiply the result by \( 81 \):
\[ 4 \times 81 = 324 \]

### Step 7: Set up the equation
Now we have:
\[ 324 = (?) \times 5 \]

### Step 8: Solve for \( ? \)
To find \( ? \), we divide both sides by \( 5 \):
\[ ? = \frac{324}{5} = 64.8 \]

Thus, the value that should come in place of the question mark is:
\[ \boxed{64.8} \]