So for this problem you're going to want to do the exponent inside of the paranthesis first. Let's focus on the term inside of the paranthesis...
(2^3)
Now it's simply 2 multiplied by another two twos.
2 x 2 x 2 = 8
Now that you have the inside of the paranthesis taken care of, just focus on the entire picture.
(8)^-2
Since we're doing a negative exponent, let's do the reciprocal of 8 other wise stated as
(1/8) ^ 2
Now distribute the 2 power to both one and 8
(1^2 / 8^2)
(1*1 / 8*8)
(1/64) <--- Final answer