CAT 2019 Surds and Indices — Previous Year Question

If $m$ and $n$ are integers such that $(\sqrt{2})^{19} \cdot 3^{4} \cdot 4^{2} \cdot 9^{m} \cdot 8^{n} = 3^{n} \cdot 16^{m} \cdot \sqrt[4]{64}$, then $m$ is