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

-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!!

it is between 0 and 1

Step-by-step explanation:

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.