Question

(1/3)-²+(-1/2)-³-(8/9)°

Answer 1

   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

Respuesta:

-$\frac{11}{6}$

Explicación paso a paso:

quite los parentesis y evalue la potencia