question_answer

Simplify: \[\left[ {{\left( {{5}^{2}} \right)}^{3}}\times {{5}^{4}} \right]\div {{5}^{7}}\]

Answer:

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