4+(6 exponent 2 divided by 1/4) x 3

To solve this expression, let's break it down step by step:

1. Start with the operation inside the parentheses: 6^2 = 36.
2. Next, divide 36 by 1/4. To divide by a fraction, we multiply by its reciprocal (flip it upside down): 36 ÷ 1/4 = 36 x 4/1 = 36 x 4 = 144.
3. Moving on to the multiplication: 144 x 3 = 432.
4. Finally, add 4 to 432: 4 + 432 = 436.

So, 4 + (6^2 ÷ 1/4) x 3 = 436.