8th Class Mathematics Sample Paper Mathematics Sample Paper - 6

  • question_answer
    Simplify: \[{{\left( \frac{1}{5} \right)}^{45}}\times {{\left( \frac{1}{5} \right)}^{-60}}-{{\left( \frac{1}{5} \right)}^{+28}}\times {{\left( \frac{1}{5} \right)}^{-43}}\]

    Answer:

    \[{{\left( \frac{1}{5} \right)}^{45}}\times {{\left( \frac{1}{5} \right)}^{-60}}-{{\left( \frac{1}{5} \right)}^{28}}\times {{\left( \frac{1}{5} \right)}^{-43}}\]
    \[\Rightarrow \,\,\,{{\left( \frac{1}{5} \right)}^{45-60}}-{{\left( \frac{1}{5} \right)}^{28-43}}\]
    \[\Rightarrow \,\,\,{{\left( \frac{1}{5} \right)}^{-15}}-{{\left( \frac{1}{5} \right)}^{-15}}\]
    \[\Rightarrow \,\,\,{{(5)}^{15}}-{{(5)}^{15}}\]
    \[\Rightarrow \,\,\,0\]
         


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