Answer:
\[\frac{{{5}^{m}}\times {{5}^{3}}\times {{5}^{-2}}}{{{5}^{-5}}}={{5}^{12}}\] \[{{5}^{m}}\times {{5}^{3}}-{{5}^{-2}}\times {{5}^{5}}={{5}^{12}}\] \[{{5}^{m}}\times {{5}^{3}}^{-2+5}={{5}^{12}}\] \[{{5}^{m}}\times {{5}^{6}}={{5}^{12}}\] \[{{5}^{m+6}}={{5}^{12}}\] On comparing powers m + 6 = 12 \[m=126\] m = 6
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