Answer:
\[\left[ {{({{5}^{2}})}^{3}}\times {{5}^{4}} \right]\div {{5}^{7}}=\frac{{{5}^{6}}\times {{5}^{4}}}{{{5}^{7}}}\] \[=\frac{{{5}^{6}}\times {{5}^{4}}}{{{5}^{7}}}=\frac{{{5}^{10}}}{{{5}^{7}}}\] \[=\text{ }{{5}^{10}}^{-7}\] \[={{5}^{3}}\].
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