What is the value of 3*(6*8)?

P and Q represent numbers, and P * Q means \(\dfrac{\left(P+Q\right)}{2}\).What is the value of 3 * (6 * 8)?

As per the order of operations, parentheses are executed first.
So 6 * 8 = \(\dfrac{\left(6+8\right)}{2}\)
        = \(\dfrac{14}{2}\) = 7

Then 3 * 7 = \(\dfrac{\left(3+7\right)}{2}\)
          = \(\dfrac{10}{2}\) = 5

Hence 3 * (6 * 8) = 5