Which statement is true about the value of the expression below (-2^3) ^-2

1. it is between 0 and 1.

2. it is greater than one

3. it is less than - 1

4. it is between - 1 and 0

Answer:it is between 0 and 1

-2^3 will be - 8 (we know it certainly)

(-8) ^-2 = (1 / (-8)) ^2 then we know, when we have power 2 for parentheses, can ignore the negativity : 1/64 and we know 0<1/64<1

So 1 is correct!