If x = 6 and y = 3 then the value of `[x + y]^(x//y)` is :

Options

A. 30
B. 36
C. 81
D. 18

Answer

To solve the question step by step, we will follow the given values of \( x \) and \( y \) and compute the expression \( [x + y]^{(x // y)} \).

### Step 1: Identify the values of \( x \) and \( y \)
We are given:
- \( x = 6 \)
- \( y = 3 \)

### Step 2: Calculate \( x + y \)
Now, we calculate the sum of \( x \) and \( y \):
\[ x + y = 6 + 3 = 9 \]

### Step 3: Calculate \( x // y \)
Next, we need to calculate the integer division of \( x \) by \( y \):
\[ x // y = 6 // 3 = 2 \]

### Step 4: Substitute the values into the expression
Now we substitute the values we found into the expression \( [x + y]^{(x // y)} \):
\[ [x + y]^{(x // y)} = [9]^{2} \]

### Step 5: Calculate \( 9^2 \)
Finally, we calculate \( 9^2 \):
\[ 9^2 = 81 \]

### Conclusion
Thus, the value of \( [x + y]^{(x // y)} \) is \( 81 \).