First, we need to substitute a= (0.5)^-4 into the expressions:

(0.5)^-4 = 2^4 = 16

Now, we can substitute a=16 into the expressions:

(0,5a^-2)^-2 = (0.5 16^-2)^-2 = (0.5 1/256)^-2 = (0.5/256)^-2 = (0.001953125)^-2 = 512

(32a^5)^3 = (32 16^5)^3 = (32 1073741824)^3 = (34359738368)^3 = 4.2492837e+31

Therefore, the final result is 512 : 4.2492837e+31.