Answer
$\frac{1}{3m^6}$
Work Step by Step
We start with the given expression: $(2m^3)^0(3m^6)^{-1}$
The zero as an exponent rule states that for every nonzero number $a$, $a^0=1$. Since anything multiplied by $1$ is itself, we can disregard the term that is raised to the $0$ power: $(3m^6)^{-1}$
Since any number raised to the $-1$ power is the reciprocal of the base, we can rewrite this expression as: $\frac{1}{3m^6}$
