Simplify. Assume that no denominator is equal to zero. ([3^2]^3g^3h^4) ^2

531,441·g^6·h^8

Step-by-step explanation:

The operative rule of exponents is ...

(a^b) ^c = a^ (b·c)

Working from the inside out, according to the order of operations, we get ...

= (9^3·g^3·h^4) ^2

= 729^2·g^ (3·2) ·h^ (4·2)

= 531,441·g^6·h^8