(104 + 208) - 556 ÷ 4² + 10

Concept: This expression is evaluated using the standard order of operations (BODMAS/PEMDAS) — Brackets first, then Orders (exponents/roots), then Division and Multiplication (left to right), and finally Addition and Subtraction (left to right). An exponent is always resolved before any division or multiplication step that follows it in the expression, even though it may appear after a subtraction sign in written order.

Applying this to (104 + 208) - 556 ÷ 4² + 10:

1. Resolve the bracket first: 104 + 208 = 312.

2. Evaluate the exponent next, before the division: 4² = 16.

3. Carry out the division using that result: 556 ÷ 16 = 34.75.

4. Combine the remaining addition and subtraction from left to right: 312 - 34.75 + 10 = 287.25.

Cross-check: addition and subtraction share the same precedence, so the trailing +10 and -34.75 can be combined in either order without changing the outcome — 312 + 10 - 34.75 also gives 287.25, confirming the result independent of which of the two tied operations is carried out first.

So the value of the expression is 287.25.