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Simplify the following:
(9 g^2)^(-3)

Multiply each exponent in 9 g^2 by -3:
(g^(-3×2))/(9^3)

-3×2  =  -6:
g^-6/9^3

9^3 = 9×9^2:
1/(9×9^2 g^6)

9^2 = 81:
1/(9×81 g^6)

9×81  =  729:
Answer: | 
| 1/(729 g^6)