Simplify fully [(256x^20)/(y^8)]^ (-1/4).

First, flip the whole fraction so it becomes the (y^8/256x^20)^0.25. This is because there is a negative power, which flips the whole fraction. Secondly, you would solve each element of the fraction individually. So, the (y^8)^0.25 is the same as y^80.25, which makes y^2, as a quarter of 8 is 2. The (256x^20)^0.25 is the same as writing (256 multiplied by x^20)^0.25, which can be written as 256^0.25 multiplied by x^(200.25), which equals 4*x^5 = 4x^5. Now, we can finally combine each segment together, which gives the final answer (y^2)/(4x^5)