7th Class Mathematics Exponents and Power Question Bank Exponents and Powers

  • question_answer
    What is the value of \[{{\left( \frac{16}{81} \right)}^{2}}\]?

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

    B)         \[\frac{2}{9}\]

    C)  \[{{\left( \frac{2}{3} \right)}^{8}}\]           

    D)         \[\frac{27}{8}\]

    Correct Answer: C

    Solution :

     \[\frac{16}{81}=\frac{{{2}^{4}}}{{{3}^{4}}}={{\left( \frac{2}{3} \right)}^{4}}\]\[\Rightarrow \] \[{{\left( \frac{16}{81} \right)}^{2}}={{\left[ {{\left( \frac{2}{3} \right)}^{4}} \right]}^{2}}={{\left( \frac{2}{3} \right)}^{8}}\]


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