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8th Class Mathematics Exponents and Power Question Bank Exponents and Powers

  • question_answer
    Find x so that \[{{\left( \frac{5}{3} \right)}^{-5}}\times {{\left( \frac{5}{3} \right)}^{-11}}={{\left( \frac{5}{3} \right)}^{8x}}\]

    A)  \[-\,4\]                         

    B)  \[-\,2\]   

    C)  \[-\,6\]                         

    D)  \[-\,8\]

    Correct Answer: B

    Solution :

    (b); \[{{\left( \frac{5}{3} \right)}^{-5}}\times {{\left( \frac{5}{3} \right)}^{-11}}={{\left( \frac{5}{3} \right)}^{8x}}\] \[\Rightarrow {{\left( \frac{5}{3} \right)}^{-5-11}}={{\left( \frac{5}{3} \right)}^{8x}}\] \[\Rightarrow -5-11=8x\]


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