The answer of Amelia is wrong, we can see that when do the process to get the answer and it does not match
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![\sqrt[]{((9c^(16))/(d^4))^3}=\sqrt[]{\frac{3^6c^{48^{}}}{d^(12)}}=\frac{3^3c^(24)}{d^{6^{}}}=\frac{27c^{24^{}}}{d^6}](https://img.qammunity.org/2023/formulas/mathematics/college/h71n938zbvmgjpixtx0d6ha3jcq5pfnf8q.png)