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

  • question_answer
    What is the value of \[{{(512)}^{\frac{-2}{9}}}\]?

    A)  \[\frac{1}{2}\]                                  

    B)  \[2\]                    

    C)  \[4\]                    

    D)         \[\frac{1}{4}\]                  

    Correct Answer: D

    Solution :

    \[{{(512)}^{\frac{-2}{9}}}={{({{2}^{9}})}^{\frac{-2}{9}}}={{2}^{-2}}=\frac{1}{4}\] [Since \[{{({{a}^{m}})}^{n}}={{a}^{mn}}\]]


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