what are the positive exponents for (x^2y^4/x^-3y^2)^3

To simplify the expression, let's first rewrite it:

(x^2y^4 / x^-3y^2)^3

Using the properties of exponents, when dividing with the same base, you subtract the exponents:

(x^2 * x^3) / (y^4 * y^2)

This simplifies to:

x^(2+3) / y^(4+2)

Therefore, the positive exponents are:

x^5 / y^6