Mathématiques

Question

Bonsoir 

calculer : (-5)^-4X(-5)^3 et (-5)^-4/(-5)^3 

2 Réponse

  • Bonsoir,

    calculer : (-5)^-4X(-5)^3 et (-5)^-4/(-5)^3 

    [tex](-5)^{-4}\times(-5)^3= (-5)^{-4+3}=(-5)^{-1}=\dfrac{1}{-5}=-\dfrac{1}{5}\\\\\dfrac{(-5)^{-4}}{(-5)^3}= (-5)^{-4-3}= (-5)^{-7}=\dfrac{1}{(-5)^7}=\dfrac{1}{[(-1)\times5]^7}=\dfrac{1}{(-1)^7\times5^7}\\\\=\dfrac{1}{(-1)\times5^7}=\dfrac{1}{-5^7}=-\dfrac{1}{78125} [/tex]
  • 1) (-5)^-4X(-5)^3 =

    (-5) ^(-4+3) =

    (-5)^-1 =

    - 1/5

    = - 0.2

    2) (-5)^-4/(-5)^3 =

    (-5) ^-4 x ( -5) ^-3 =

    (-5) ^-7 =

    1/(-5)^7=

    - 0, 0000128

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