Index rules
Examples
3⁴ x 3² = 3⁶
because
3⁴ x 3² = (3 x 3 x 3 x 3) x (3 x 3)
5⁵ ÷ 5³ = 5²
because
(4³)⁴ = 4¹²
because
(4³)⁴ =(4³) × (4³) × (4³) × (4³)
= (4 × 4 × 4) × (4 × 4 × 4) ×(4 × 4 × 4) ×(4 × 4 × 4)
Examples
3⁴ x 3² = 3⁶
because
3⁴ x 3² = (3 x 3 x 3 x 3) x (3 x 3)
5⁵ ÷ 5³ = 5²
because
(4³)⁴ = 4¹²
because
(4³)⁴ =(4³) × (4³) × (4³) × (4³)
= (4 × 4 × 4) × (4 × 4 × 4) ×(4 × 4 × 4) ×(4 × 4 × 4)