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

  • question_answer
    If \[\frac{x}{y}={{\left( \frac{6}{7} \right)}^{3}}\div {{\left( \frac{7}{6} \right)}^{-3}},\] then the value of \[{{\left( \frac{x}{y} \right)}^{-10}}\] is

    A)  1

    B)  0

    C)  \[-1\]                             

    D)  Cannot be determined

    Correct Answer: A

    Solution :

    (a) \[\frac{x}{y}=\frac{{{6}^{3}}}{{{7}^{3}}}\div {{\left( \frac{6}{7} \right)}^{3}}=\frac{{{6}^{3}}}{{{7}^{3}}}=1\Rightarrow {{\left( \frac{x}{y} \right)}^{-10}}={{1}^{-10}}=1\]


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