Answer:
\[{{5}^{m}}\div {{5}^{-3}}\,={{5}^{5}}\] \[\Rightarrow \] \[\frac{{{5}^{m}}}{{{5}^{-3}}}\,={{5}^{5}}\] or \[{{5}^{m\,-(-3)\,}}={{5}^{5}}\] \[\Rightarrow \] \[{{5}^{m+3}}\,={{5}^{5}}\] \[\Rightarrow \] \[m+3=5\] \[\Rightarrow \] \[m=5-3\] \[\Rightarrow \] \[m=2\]
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