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

  • question_answer
    Find the value of\[{{\text{(0}\text{.000064)}}^{\frac{5}{6}}}\div {{\text{(0}\text{.00032)}}^{\frac{6}{5}}}\].

    A)  0.2                             

    B)  0.4     

    C)  5                    

    D)         2.5     

    Correct Answer: C

    Solution :

    We have, \[{{(0.000064)}^{5/6}}\div {{(0.00032)}^{6/5}}\] \[={{\left( \frac{64}{1000000} \right)}^{5/6}}\div {{\left( \frac{32}{100000} \right)}^{6/5}}\] \[=\frac{{{2}^{5}}}{{{10}^{5}}}\div \frac{{{2}^{6}}}{{{10}^{6}}}=\frac{{{2}^{5}}}{{{10}^{5}}}\times \frac{{{10}^{6}}}{{{2}^{6}}}=\frac{10}{2}=5\]


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