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

  • question_answer
    Evaluate: \[{{\left( \frac{16}{81} \right)}^{\frac{3}{4}}}\]

    A)  \[\frac{9}{2}\]                                  

    B)  \[\frac{2}{9}\]  

    C)  \[\frac{8}{27}\]               

    D)         \[\frac{27}{8}\]               

    Correct Answer: C

    Solution :

    \[{{\left( \frac{16}{81} \right)}^{\frac{3}{4}}}={{\left[ {{\left( \frac{2}{3} \right)}^{4}} \right]}^{\frac{3}{4}}}=\frac{8}{27}\]  [Since  \[{{({{a}^{m}})}^{n}}={{a}^{mn}}\]]


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