Question

Escribe en forma de potencia
a) [(-4)⁶]⁵ . (-4)⁶. b)[(-40)³]⁴ ÷ [(-20)⁶]². no entiendo estás operaciones
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Answer 1

Division de potencias de igual base,Potencia de una potencia Potencia de un cociente

De la siguiente manera:

      1) ( -2)²*( -2)³*(-2)⁴ = ( -2)⁹ = - 512

      2) (-8) *( -2)²*(-2)⁰*(-2)= ( -2³) * (-2)²*(-2)⁰* ( -2) = -  2³ * 2² *1 *- 2 =

              = 2⁶ = 64 

      3) (-2)⁻² * (-2)³ *( -2)⁴ = ( -2)⁻²⁺³⁺⁴ = (-2)⁵ = - 32 .

      4) 2⁻²  * 2⁻³ * 2⁴ = 2 ⁻² ⁻³⁺⁴ = 2⁻¹ = 1/2¹ = 1/2 

      5) 2² ÷ 2³= 2²⁻³ = 2⁻¹ = 1/2¹ = 1/2 

      6) 2⁻² ÷ 2³ = 2⁻²⁻³ = 2⁻⁵ = 1/2⁵ = 1/32 

      7) 2² ÷2⁻³ = 2²⁻⁽⁻³⁾ = 2²⁺³ = 2⁵ = 32 

      8) 2⁻² ÷ 2⁻³ = 2⁻²⁻⁽⁻³⁾ = 2⁻²⁺³ = 2¹ = 2 

      9) [( -2)⁻²]³ * ( -2)³ * ( -2)⁴ = ( -2)⁻⁶ * (-2)³ * ( -2)⁴ = (-2)⁻⁶⁺³⁺⁴ = (-2)¹ = -2

    10) [(-2)⁶ ÷ ( -2 )³ ]³ * ( -2) * ( -2 )⁻⁴ = [ ( -2)³]³ * ( -2) * ( -2)⁻⁴ = 

          = ( -2)⁶ * ( -2) * ( -2)⁻⁴ = (-2)⁶⁺¹⁻⁴ = ( -2 )³ = -8 .

Answer 2

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