Solve 10 + (8 – 4)2 × 6 ÷ 12 – 2

Concept: BODMAS fixes the order in which the operations in an expression are evaluated — Brackets first, then Orders (powers/roots), then Division and Multiplication (left to right, equal rank), and finally Addition and Subtraction (left to right, equal rank). Evaluating the operations in any other order changes the result.

Step-by-step:

1. Brackets: (8 – 4) = 4.

2. Orders (exponent): 42 = 16.

3. Division and multiplication, left to right: 16 × 6 = 96, then 96 ÷ 12 = 8.

4. Addition and subtraction, left to right: 10 + 8 = 18, then 18 – 2 = 16.

Cross-check: Multiplication and division carry equal rank, so working 6 ÷ 12 = 0.5 before multiplying (16 × 0.5 = 8) gives the same intermediate value — confirming the multiplication/division step is order-independent here and the evaluation is consistent.

Result: 10 + 8 – 2 = 16.