Exercice 5
2³ = 2 x 2 x 2 = 4 x 2 = 8
0¹⁴ = 0
(-2)³ = (-2) x (-2) x (-2) = 4 x (-2) = - 8
(-1)¹⁰ = 1 car la puissance est un nombre pair donc résultat positif
(-1)¹³ = - 1 car l puissance est un nombre impair donc résultat négatif
Exercice 6
3² x 3⁸ = 3²⁺⁸ = 3¹⁰
4 x 4² = 4¹⁺² = 4³
(-9)³ x (-9)² x (-9) = (-9)³⁺²⁺¹ = (-9)⁶
Exercice 7
[ (-3)²]² = (-3)²ˣ² = (-3)⁴
[ (-2)³]² = (-2)³ˣ² = (-2)⁶
[ (-5)³]² = (-5)³ˣ² = (-5)⁶
[ (7)⁵]² = (7)⁵ˣ² = 7¹⁰
Exercice 8
3⁵/3² = 3⁵⁻² = 3³
(-5)⁴/(-5)² = (-5)⁴⁻² = (-5)²
(-4)²/(-4)⁴ = (-4)²⁻⁴ = (-4)⁻²
Exercice 9
A = (7⁻²⁴ x 7⁻²⁶ x 7⁵¹)²
A = ( 7⁻⁵⁰⁺⁵¹)² = (7¹)²
A = 7²
A = 14
B = (5⁻⁴ x 5⁵)³
B = ( 5⁻⁴⁺⁵)³
B = (5¹)³
B = 125
C =(2 x 3)⁵ x 3⁻³ x 2 x 2⁻⁴ x 3⁻¹
C = 2⁵ x 3⁵ x 3⁻³⁻¹ x 2¹⁻⁴
C = 2⁵ x 3⁵ x 3⁻⁴ x 2 ⁻³
C = 2⁵⁻³ x 3⁵⁻⁴
C = 2² x 3¹
C = 4 x 3
C = 12
D = 2⁵ x 3⁸ / 3⁵ x 2³
D = 2⁵/2³ x 3⁸/3⁵
D = 2⁵⁻³ x 3⁸⁻⁵
D = 2² x 3³
D = 4 x 27
D = 108
E= 5¹² x 10⁻³ x 3⁸ / 10⁻⁵ x 3⁸ x 5¹⁰
E = 5¹²/5¹⁰ x 10⁻³/10⁻⁵ x 3⁸/3⁸
E = 5¹²⁻¹⁰ x 10⁻³⁻⁽⁻⁵⁾ x 3⁸⁻⁸
E = 5² x 10⁻³⁺⁵ x 3⁰
E = 5² x 10² x 1
E = 25 x 100
E = 2500
F = 8 x (7 x5)⁵ x 5²x 7³/7⁴ x 5⁵ x (7⁻²)²
F = 8 x 7⁵ x 5⁵ x 5²⁻⁵ x 7³⁻⁴ x 7⁻²ˣ²
F = 8 x 7⁵ x 7⁻¹ x 7⁻⁴ x 5⁵ x 5⁻³
F = 8 x 7⁵ x 7⁻⁵ x 5⁵⁻²
F = 8 x 7⁵⁻⁵ x 5³
F = 8 x 7⁰ x 25
F = 8 x 1 x 25
F = 200