Bonsoir ^^☻
Exercice 1
⇒ -3 × 2² + 5 × (-3)
= -3 × 4 + 5 × (-3)
= -12 + 5 × (-3)
= -12 + (-15)
= -12 - 15
⇒ (-9 + 7²)⁴ × (0.2 + 20⁻¹)⁴
= (-9 + 49)⁴ × (0.2 + 20)⁴
= 40⁴ × (0.2 + 20⁻¹)⁴
= (40 × (0.2 + 20⁻¹))⁴
= (40 × 2/10 + 40 × 20⁻¹)⁴
= (4 × 2 + 40 × 20⁻¹)⁴
= (8 + 40 × 20⁻¹)⁴
= (8 + 40 × 1/20⁻¹)⁴
= (8 + 2 × 1)⁴
= (8 + 2)⁴
= 10⁴ (10000)
Exercice 2
⇒ [tex] \frac{5}{-2} [/tex] - [tex] \frac{3}{5} [/tex]
= -[tex] \frac{5}{2} [/tex] - [tex] \frac{3}{5} [/tex]
= [tex] \frac{5*-5-2*3}{10} [/tex]
= [tex] \frac{-25-6}{-10} [/tex]
= [tex] \frac{-31}{10} [/tex]
= -[tex] \frac{31}{10} [/tex] (forme alternative : -3,1)
⇒ [tex] \frac{-5}{3}-\frac{2}{-7} [/tex]
= [tex]- \frac{5}{3} - \frac{2}{-7} [/tex]
= [tex] -\frac{5}{3} + \frac{2}{7} [/tex]
= [tex] \frac{7*-5+3*2}{21}[/tex]
= [tex] \frac{-35+3*2}{21}[/tex]
= [tex] \frac{-35+6}{21}[/tex]
= [tex] \frac{-29}{21}[/tex]
= [tex] -\frac{29}{21}[/tex]
= [tex] -1\frac{8}{21}[/tex] (-1.380952)
⇒ 5×(3/2)² - 3×5/4
= 5×9/4 - 3×5/4
= 45 - (3×5)/4
= 45-15/4
= 30/4
= 15/2
= 7* 1/2 (7.5)
Exercice 3
A = 65×10³×10⁻⁵ / 26×10²
A = 65×10⁻² / 26×10²
A = 65×10⁻⁴ / 26
A = 5×10⁻⁴ / 2
A = 0.00025
B = 3.2×10⁻³×5×(10²)³ / 4×10⁻²
B = 32×10⁻⁴×5×(10²)³ / 4×10⁻²
B = 32×10⁻²×5×10⁶ / 4
B = 32×10⁴×5 / 4
B = 8×10⁴×5
B = 40×10⁴
B = 4×10⁴
B = 4×10¹×10⁴
B = 4×10⁵ (400000)
J'espère vous avoir aider ☺
