Réponse :
8) ((1/2)² x (3/5)²)² = ((3/10)²)² = (3/10)⁴ = 3⁴/10⁴
9) (2⁻¹/² x 3³/⁴ x 4²)/(2³/² x 3⁻¹/⁴ x 4³/²) = 2⁻¹/² x 3³/⁴ x 4² x 2⁻³/² x 3¹/⁴ x 4⁻³/² = 2⁻² x 3¹ x 4¹/²
10) ((3/4)⁴)⁻¹/² = (3/4)⁻² = 3⁻²/4⁻² = 4²/3²
11) (3⁵ x 4⁻⁶)/(3⁷ x 4⁻⁸) = 4²/3²
12) √(∛10/2⁻⁵/³ x 5⁻¹¹/³) = ((10¹/³)/(2⁻⁵/³ x 5⁻¹¹/³))¹/²
= (2¹/³ x 5¹/³) /(2⁻⁵/³ x 5⁻¹¹/³))¹/² = (2¹/³ x 5¹/³) x 2⁵/³ x 5¹¹/³))¹/²
= (2² x 5⁴)¹/² = 2¹ x 5²
Explications étape par étape :
