Calculations with indices involve simplifying expressions using laws and numerical evaluation. Steps: (1) Express all terms with common base if possible; (2) Apply appropriate index laws; (3) Simplify exponents; (4) Calculate final value. Example: Simplify (3^2 × 3^3)/(3^4) = 3^(2+3-4) = 3^1 = 3. Another: Evaluate 16^(3/4) = (16^(1/4))^3 = 2^3 = 8. Shortcut: Use prime factorization for bases (16 = 2^4). Exam tip: Check if answer is in required form (fraction, decimal, surd). Always simplify fully. Practice: Convert to powers of 2, 3, 5, or 10 for common calculations.