Indices provide a way to write numbers in a more compact form. An index is often called a power. Some key rules for working with indices include: 1. Multiplication: When multiplying the same base number, add the indices (e.g. a3 × a4 = a3+4 = a7). 2. Division: When dividing the same base number, subtract the indices (e.g. a5 ÷ a3 = a5-3 = a2). 3. Brackets: The index is applied to the entire bracketed term (e.g. (a3)4 = a3 × 4 = a12). These rules allow complex expressions to