8th Class Mathematics Exponents and Power

  • question_answer 5) Find the value of m for which \[{{5}^{m}}\div {{5}^{-3}}\,={{5}^{5}}\].

    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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