Answer
$\frac{1}{12g^4}$
Work Step by Step
We start with the given expression: $(12g^4)^{-1}$
The negative exponent rule states that for every nonzero number $a$ and integer $n$, $a^{-n}=\frac{1}{a^n}$. We use this rule to rewrite the expression: $\frac{1}{(12g^4)^1}$
To raise a product to a power, we raise each factor to the power, and multiply: $\frac{1}{12^{1}g^4}=\frac{1}{12g^4}$