Réponse :
E = [(a²b⁻¹)⁻² x (a⁻³b²)⁻³ x a⁴]/[(a x (b²)⁻²)⁻¹ x (a²b)³]
1) simplifier E
E = [(a²b⁻¹)⁻² x (a⁻³b²)⁻³ x a⁴]/[(a x (b²)⁻²)⁻¹ x (a²b)³]
= (a⁻⁴b² x a⁹ b⁻⁶ x a⁴)/(a⁻¹ x b⁴ x a⁶b³)
= (a⁹ x b⁻⁴)/(a⁵b⁷)
E = a⁴ b⁻¹¹
2) calculer E
Lorsque: a = 10³ et b = 0.0001
E = (10³)⁴ x (0.0001)⁻¹¹
= 10¹² x (10⁻⁴)⁻¹¹
= 10¹² x 10⁴⁴
E = 10⁵⁶
Explications étape par étape :
