Bonjour,
Rappel:
[tex] {x}^{5} \times {x}^{2} = {x}^{5 + 2} [/tex]
[tex]( {x}^{3} )^{5} = {x}^{3 \times 5} [/tex]
[tex] \frac{ {x}^{6} }{ {x}^{9} } = {x}^{6 - 9} [/tex]
A = 3³ * (23 - 5²)³ + (2 - 3)⁴
A = 9 * (23 - 25)³ + (-1)⁴
A = 9 * (-2)³ + 1
A = 9 * (-8) + 1
A = -72 + 1
A = -71
B =
[tex] \frac{16 \times {10}^{ - 5} \times 3 \times {10}^{4} }{24 \times {( {10}^{3} })^{3} } [/tex]
B =
[tex] \frac{16 \times 3 \times {10}^{ - 5 + 4} }{24 \times {10}^{3 \times 3} } [/tex]
B =
[tex] \frac{16 \times 3 \times {10}^{ - 1} }{24 \times {10}^{9} } [/tex]
B =
[tex] \frac{2 \times 8 \times 3 \times {10}^{ - 1} }{3 \times 8 \times {10}^{9} } [/tex]
B =
[tex] \frac{2 \times {10}^{ - 1} }{ {10}^{9} } [/tex]
B =
[tex]2 \times \frac{ {10}^{ - 1} }{ {10}^{9} } [/tex]
B =
[tex]2 \times {10}^{ - 1 - 9} [/tex]
B =
[tex]2 \times {10}^{ - 10} [/tex]
A =
[tex] \frac{2 \times {( {10}^{ - 5}) }^{4} \times 12 \times {10}^{3} }{3 \times {10}^{8} } [/tex]
A =
[tex] \frac{2 \times {10}^{ - 5 \times 4 + 3} \times 13 }{3 \times {10}^{8} } [/tex]
A =
[tex] \frac{2 \times {10}^{ - 17} \times 13 }{3 \times {10}^{8} } [/tex]
A =
[tex] \frac{26}{3} \times {10}^{ - 17 - 8} = \frac{26}{3} \times {10}^{ - 25} [/tex]
B =
[tex] \frac{32 \times {10}^{ - 3 + 3 \times 2} }{4 \times {10}^{ - 2} } [/tex]
B =
[tex] \frac{32}{4} \times {10}^{( - 3 + 3 \times 2) - ( - 2)} = 8 \times {10}^{3 + 2} = 8 \times {10}^{5} [/tex]
Bonne journée
