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 problem, we need to evaluate the expression \([x + y]^{(x // y)}\) given that \(x = 6\) and \(y = 3\).

### Step-by-Step Solution:

1. **Substitute the values of x and y:**
\[ x = 6, \quad y = 3 \]

2. **Calculate \(x + y\):**
\[ x + y = 6 + 3 = 9 \]

3. **Calculate \(x // y\):**
The operator "//" denotes integer division. Therefore:
\[ x // y = 6 // 3 = 2 \]

4. **Substitute these values into the expression:**
Now we substitute \(x + y\) and \(x // y\) into the expression:
\[ [x + y]^{(x // y)} = 9^2 \]

5. **Calculate \(9^2\):**
\[ 9^2 = 81 \]

Thus, the final value of the expression \([x + y]^{(x // y)}\) is:
\[ \boxed{81} \]