Réponse :

bonjour

applique les régles :

xᵃ×xᵇ=xᵃ⁺ᵇ

xᵃ/xᵇ=xᵃ⁻ᵇ

(xᵃ)ᵇ=xᵃˣᵇ

(1/2)⁶×(1/2)⁻⁵=(1/2)⁶⁺⁽⁻⁵⁾=(1/2)⁶⁻⁵=(1/2)¹

(3/4)⁻³× (3/4)⁻²=(3/4)⁻³⁺⁽⁻²⁾=(3/4)⁻³⁻²=(3/4)⁻⁵

10⁻⁸×10⁻⁶=10⁻⁸⁺⁽⁻⁶⁾=10⁻⁸⁻⁶=10⁻¹⁴

(-5/3)⁻⁵÷ (5/3)⁶=(5/3)⁻⁵⁻⁶=(5/3)⁻¹¹  

-(2/3)⁻³×(2/3)⁶=-(2/3)⁻³⁺⁶=-(2/3)³

(-11/7)⁻⁸ ×11/7=(11/7)⁻⁸⁺¹=(11/7)⁻⁷

(2/5)³×(-2/5)⁸×(2/5)¹=(2/5)³⁺⁸⁺¹=(2/5)¹²     car (5/2)⁻¹=(2/5)¹

-(7/9)⁵×(7/9)⁶×(-7/9)²=-(7/9)⁵⁺⁶⁺²=-(7/9)¹³

[(5/8)²]³× [(5/8)³]²=(5/8)⁶⁺⁶=(5/8)¹²

[(-5/4)⁻³]³×(5/4)²=(5/4)⁻⁹⁺²=(5/4)⁻⁷

[(8/3)²]⁻⁴ ×(2/5)⁸=(8/3)⁻⁸× (2/5)⁸=(3/8)⁸×(2/5)⁸=(6/40)⁸

(-4/6)⁶×[(3/2)⁻³]²=(-4/6)⁶× (3/2)⁻⁶=(-4/6)⁶ ×(2/3)⁶=(-8/18)⁶

Explications étape par étape :