2(-8) * 4(-5) : 8(-7)

First, simplify the exponents:
2(-8) = 1/2^8 = 1/256
4(-5) = 1/4^5 = 1/1024
8(-7) = 1/8^7 = 1/2097152

Now, plug in the simplified values:
(1/256) (1/1024) : (1/2097152)
(1/256) (1/1024) (2097152/1)
2097152 / (256 1024)
2097152 / 262144
8

Therefore, 2(-8) * 4(-5) : 8(-7) = 8.