Réponse :
écrire les expressions suivantes sous la forme d'une puissance d'un seul nombre
A = (8⁵ x 12⁹)/(8² x 12⁶) = 8⁵ x 8⁻² x 12⁹ x 12⁻⁶ = 8⁵⁻² x 12⁹⁻⁶ = 8³ x 12³ = (8 x 12)³ = (96)³
B = (3⁵ x (4⁵)³)/((4⁶)³ x (3⁴)²) = (3⁵ x 4¹⁵)/(4¹⁸ x 3⁸) = 3⁵ x 3⁻⁸ x 4¹⁵ x 4⁻¹⁸
= 3⁻³ x 4⁻³ = (3 x 4)⁻³ = 12⁻³
C = (7⁵ x 6³ x 3⁵ x 8²)/(21³ x 2² x 6) = (7⁵ x 6³ x 3⁵ x (2x 4)²)/(3 x 7)³ x 2² x 6)
= (7⁵ x 6³ x 3⁵ x 2²x 4²)⁶)/(3³ x 7³ x 2² x 6) = 7⁵ x 7⁻³ x 6³ x 6⁻¹ x 3⁵ x 3⁻³ x 4² = 7² x 6² x 3² x 4² = (7 x 6 x 3 x 4)² = 504²
D = (5⁻² x 14⁻⁵ x (3⁻¹)²)/((7⁻³)⁻² x 15⁹ x 2⁶) = (5⁻² x (2 x 7)⁻⁵ x 3⁻²)/(7⁶ x (3 x 5)⁹ x 2⁶)
= (5⁻² x 2⁻⁵ x 7⁻⁵ x 3⁻²)/(7⁶ x 3⁹ x 5⁹ x 2⁶) = 5⁻² x 5⁻⁹ x 2⁻⁵ x 2⁻⁶ x 7⁻⁵ x 7⁻⁶ x 3⁻² x 3⁻⁹ = 5⁻¹¹ x 2⁻¹¹ x 7⁻¹¹ x 3⁻¹¹ = (5 x 2 x 7 x 3)⁻¹¹ = 210⁻¹¹
Explications étape par étape
