3 choses à savoir par coeur :
nᵃ × nᵇ = n⁽ᵃ⁺ᵇ⁾
nᵃ ÷ nᵇ = n⁽ᵃ⁻ᵇ⁾
(nᵃ)ᵇ = n⁽ᵃˣᵇ⁾
donc, par exemple :
(13⁴ × 13⁵) ÷ 13² = 13⁽⁴⁺⁵⁻²⁾ = 13⁷
6⁻⁶ ÷ (6×(6⁻²)³) = 6⁻⁶ ÷ (6¹×6⁽⁻²ˣ³⁾) = 6⁻⁶ ÷ (6¹×6⁻⁶) = 6⁻⁶ ÷ 6⁻⁵ = 6⁽⁻⁶⁺⁵⁾ = 6⁻¹
(1,3 × 1,3¹⁰) ÷ (1,3² × 1,3³)² = (1,3¹ × 1,3¹⁰) ÷ (1,3²⁺³)²
= (1,3¹⁺¹⁰) ÷ (1,3⁵)²
= 1,3¹¹ ÷ 1,3⁵ˣ²
= 1,3¹¹⁻¹⁰
= 1,3¹
= 1,3
6⁷ × 2⁷ = (6×2)⁷ = 12⁷
...etc...etc...etc....
