Laws for Same Base: For multiplication, add the indices (e.g., 2³ × 2⁴ = 2⁷). For division, subtract the indices (e.g., 4⁵ ÷ 4³ = 4²).
Laws for Same Index: For multiplication, multiply the bases and keep the index (e.g., 2³ × 5³= 10³). For division, divide the bases and keep the index (e.g., 6⁵ × 3⁵ = 2⁵).