contestada

Which statement is true about the value of the expression below?(-23) ?It is greater than 1.It is between 0 and 1.It is between-1 and 0.It is less than-1.

Which statement is true about the value of the expression below23 It is greater than 1It is between 0 and 1It is between1 and 0It is less than1 class=

Respuesta :

Given the indices below,

[tex](-2^3)^{-2}[/tex]

Simplifying the indices by converting it to positive indices,

[tex](-2^3)^{-2}=(-2\times-2\times-2)^{-2}=(-8)^{-2}=(\frac{-1}{8})^2=(\frac{-1}{8}\times\frac{-1}{8})=\frac{1}{64}[/tex]

Since the value 1/64 is greater than 0 but less than 1,

Hence, the value of the expression lies between 0 and 1.

Otras preguntas