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 :