Laws of Indices: (1) a^m × a^n = a^(m+n); (2) a^m ÷ a^n = a^(m-n); (3) (a^m)^n = a^(mn); (4) (ab)^n = a^n × b^n; (5) (a/b)^n = a^n/b^n; (6) a^(-n) = 1/a^n; (7) a^(m/n) = n-th root of a^m. Application: Simplify 2^3 × 2^5 = 2^8 = 256. Or (2^3)^2 = 2^6 = 64. Solving MCQs: Identify which law applies; rewrite using index notation; simplify step-by-step. Shortcut: Convert all terms to same base before applying laws. Common trap: Confusing a^(mn) with a^(m+n). Exam tip: Practice applying multiple laws in sequence. Verify by expanding at least one step manually.