Réponse :
6) ((10ᵃ)⁵ x 10⁻⁹)/(10⁴)² x 10¹⁰ = 10⁸ ⇔ (10ᵃ)⁵ x 10⁻⁹ = (10⁴)² x 10¹⁰ x 10⁸
⇔ (10ᵃ)⁵ x 10⁻⁹ = 10²⁶
⇔ 10⁵ᵃ = 10²⁶/10⁻⁹ ⇔ 10⁵ᵃ = 10³⁵ ⇔ 5 a = 35 ⇔ a = 35/5 = 7
7) (10²)ᵇ x 10⁻³/(10⁻⁴)³ x 10⁵ = 10¹⁴ ⇔ 10²ᵇ x 10⁻³ = 10¹⁴ x 10⁻¹² x 10⁵
⇔ 10²ᵇ x 10⁻³ = 10⁷ ⇔ 10²ᵇ = 10¹⁰ ⇔ 2b = 10 ⇔ b = 10/2 = 5
Explications étape par étape :
