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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=

Answer :

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.

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