bonsoir, voici mon exercice , besoin de vous merci

Réponse :

Explications étape par étape :

Bonsoir

A = (2/3)¹¹ × (3/2)¹⁰

A = 2¹¹/2¹⁰ × 3¹⁰/ 3¹¹

A = 2 × 3¹⁰⁻¹¹

A = 2 × 3⁻¹

A = 2/3

B = 3⁴ × ( -0,6)³ × 10⁻²

B = 3⁴ × (- 6/10)³ × 10 ⁻²

B = 3⁴ × (- 3/5)³ × (2 × 5 )⁻²

B = 3⁴ × (-3³/5³) (2⁻² × 5⁻²)

B = - 3⁴⁻³ × 2⁻² × 5⁻²/5³

B = -3 × 2⁻² × 5⁻²⁻³

B = -3 ×2⁻² × 5⁻⁵

C = [ (2⁵)³ × 4 ] / ( - 8)⁴

C = (2¹⁵ × 2²)/ 8⁴

C = (2¹⁵⁺²)/ (2³)⁴

C = (2¹⁷)/(2¹²)

C = 2¹⁷⁻¹²

C = 2⁵

D = ( - 3² × 5 )⁵

D = -3¹⁰ × 5⁵

D = 3¹⁰ × 5⁵

E = (15³×20³)/(45² × 6⁷)

E = (3 × 5 )³ × (2²× 5 )³ / ( (3² × 5)²× (2 × 3)⁷)

E = (3³ × 5³× 2⁶× 5³) / (3⁴× 5²× 2⁷× 3⁷)

E = (3³ ×5⁶× 2⁶ ) / (3¹¹× 5²× 2⁷ )

E = 3³/3¹¹× 5⁶/5²× 2⁶/2⁷

E = 3³⁻¹¹ ×5⁶⁻²× 2⁶⁻⁷

E = 3⁻⁸ ×5⁴× 2⁻¹