Chapter 4 - Section 4.1 - Integer Exponents and Scientific Notation - 4.1 Exercises - Page 278: 124

$\dfrac{m^3}{9}$

Using the laws of exponents, the given expression, $ \dfrac{(m^4)^0}{9m^{-3}} ,$ is equivalent to \begin{array}{l}\require{cancel} \dfrac{1}{9m^{-3}} \\\\= \dfrac{1m^3}{9} \\\\= \dfrac{m^3}{9} .\end{array}