Simplify: 8rs^2/5s^4 times (2r^3)^-1

Answer 1

8rS^^2 / 5S^4 * (2r^3)^-1,
8rS^@ / (5S^4*2r^3) =
8rS^@ / 10S^4r^3 = 4rS^2 / 5r^3S^4 =
4r^-2S^-2 / 5 = 4 / 5r^2S^2.

Answer 2

Correction:
8rS^2 / 5S^4*(2r^3)^-1,
8rS^2 / (5S^4*2r^3) =
8rS^3 / 10S^4r^3 = 4rS^2 / 5r^3S^4 =
4r^-2S^-2 / 5 = 4 / 5r^2S^2.