where do the brackets go 2 x 3 to the 3rd power + 4 to = 4374

First remember that the priorities of operations are:

1. exponentiation
2. multiplication & division
3. addition and subtraction
and parentheses are before all of the above, from inside out.
So
2×3^3+4
would mean
(2×(3^3))+4

For the given problem, these are these possibilities:

(2×3)^3+4
2×(3^3)+4
2×3^(3+4)
(2×3)^(3+4)

Check out each of them. If you don't find one that fits the bill, you probably have not followed the priority of operations. In that case, post again.