What is the value of 36x × 8y² when x equals 3 and y equals 6?

To find the value of the expression 36x × 8y² when x = 3 and y = 6, we need to substitute the values of x and y into the expression.

First, we substitute x = 3:

36 × 3 × 8y²

Next, we will deal with the y part by substituting y = 6:

36 × 3 × 8 × (6)²

Now we can calculate the value step-by-step:

1. Calculate (6)²:
2. (6)² = 36
3. Now substitute back into the expression:

36 × 3 × 8 × 36

4. Next, let’s compute 36 × 3:
5. 36 × 3 = 108
6. Now we have:

108 × 8 × 36

7. Calculate 108 × 8:
8. 108 × 8 = 864
9. Finally, we multiply 864 × 36:
10. 864 × 36 = 31104

Therefore, the final value of 36x × 8y² when x = 3 and y = 6 is 31104.