How do I solve the following math problems?

Question

Simplify the expression and eliminate any negative exponent(s). Assume that all letters denote positive numbers.

1) ((a^1/6 b^-3)^3 / (x^-1y)^3) X ((x^-2 b^-1) / (a^3/2 y^1/3))

2) ((4st)^3/2 / (8s^9 t^-4)^2/3) X ((2s^-6)^-1 / (3t^1/3)^-1)

Answer 1

1).

Arbitrary integer exponents:

                      .

Identities and properties:

Answer 2

2).

Arbitrary integer exponents:

                   

Identities and properties:

Comments

good explanation :)