Question

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.

Answer 1

Given the indices below,

`(-2^3)^(-2)`

Simplifying the indices by converting it to positive indices,

`(-2^3)^(-2)=(-2*-2*-2)^(-2)=(-8)^(-2)=((-1)/(8))^2=((-1)/(8)*(-1)/(8))=(1)/(64)`

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

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