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

  • question_answer
    Evaluate \[{{\left[ {{\left( \sqrt{\frac{2}{3}} \right)}^{2}}-\sqrt[3]{\frac{8}{27}} \right]}^{1000}}\]

    A)  0   

    B)  1             

    C)  2                                

    D)  -1

    Correct Answer: A

    Solution :

    (a) Let  \[A={{\left[ {{\left( \sqrt{\frac{2}{3}} \right)}^{2}}-3\sqrt{\frac{8}{27}} \right]}^{1000}}\] Now, \[{{\left( \frac{8}{27} \right)}^{\frac{1}{3}}}=\frac{2}{3}\] \[\therefore A={{\left[ \frac{2}{3}-2/3 \right]}^{1000}}=0\].


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