Answer
$\frac{x^{10}}{m^3}$
Work Step by Step
We start with the given expression: $(m^3)^{-1}(x^2)^5$
To raise a power to a power, we multiply the exponents: $m^{-3}x^{10}$
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: $\frac{x^{10}}{m^3}$