Simplify 2 (f^4) ^2 f^3 divided by 6f^9

((2f^4) ^2*f^3) / (6f^9)

pertinent rules of exponents:

(a^b) ^c=a^ (b*c), (a^b) (a^c) = a^ (b+c), and (a^b) / (a^c) = a^ (b-c) so

(2f^ (4*2) * f^3) / (6f^9)

(2f^8*f^3) / (6f^9)

(2f^ (8+3)) / (6f^9)

(2f^11) / (6f^9)

(2/6) (f^11/f^9)

(1/3) (f^ (11-9)

(1/3) (f^2)

(f^2) / 3