simplify the following, giving your answer with a positive exponent

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

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

= (3^2 * (y^4)^2) * (3^3 * (y^2)^3)

= (9 * y^8) * (27 * y^6)

= 243 * y^8 * y^6

= 243 * y^(8+6)

Simplifying further:

= 243 * y^14