Bonjour j’aurais besoin d’aide svp merci d’avance et bonne après-midi

Réponse :

Explications étape par étape :

Bonjour

A =( 7³ × 2⁴ × 3⁵) /(2⁶× 7² × 3²)

A = 7³/7² × 2⁴/2⁶ × 3⁵/3²

A = 7³⁻² ×  2⁴⁻⁶ × 3⁵⁻²

A = 7¹ ×  2⁻² ×  3³

A = 7  × 27 /2²

A = 189/4

B = (3×5)³ × 2⁻² / (3⁶×11⁻³×5²)

B = (3³ × 5³ × 2⁻²) / (3⁶ × 11⁻³ × 5²)

B = 3³/3⁶ × 5³/5² × 2⁻²/11⁻³

B = 3³⁻⁶ × 5³⁻² × 11³/2²

B = 3⁻³ × 5¹ × 11³/2²

B = (5 × 11³) / (3³ × 2²)

B = 6655 /(27 × 4)

B = 6655 / 108

C = 10⁷ /(2⁵×5⁴)

C= (2 × 5)⁷ / (2⁵ × 5⁴)

C = 2⁷ × 5⁷ / (2⁵ × 5⁴)

C =2⁷/2⁵ × 5⁷/5⁴

C = 2⁷⁻⁵ × 5⁷⁻⁴

C = 2² × 5³

C = 4 × 125

C = 500

D = ( 13³)⁻² × 2⁻⁴ /26⁻⁵

D = (13⁻⁶ × 2⁻⁴)/ (2 × 13)⁻⁵

D = (13⁻⁶ ×  2⁻⁴ )/ (2⁻⁵ × 13⁻⁵)

D = 13⁻⁶/13⁻⁵ × 2⁻⁴/2⁻⁵

D = 13⁻⁶ ⁻⁽⁻⁵⁾ ×  2⁻⁴⁻⁽⁻⁵⁾

D = 13⁻⁶⁺⁵ ×  2⁻⁴⁺⁵

D = 13⁻¹ × 2 ¹

D = 2/13