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

  • question_answer
    If \[x={{y}^{3}},\]which expression is equal to\[{{y}^{1/2}}\]

    A) \[{{x}^{1/6}}\]       

    B) \[{{x}^{6}}\]

    C) \[{{x}^{1/12}}\]                     

    D) \[{{x}^{-1/12}}\]

    Correct Answer: A

    Solution :

    (a) \[x={{y}^{3}}\Rightarrow {{y}^{3}}=x\Rightarrow {{\left( {{y}^{3}} \right)}^{1/3}}={{x}^{1/3}}\] i.e. \[y={{x}^{1/3}}\] Further \[{{y}^{\frac{1}{2}}}={{\left( {{x}^{1/3}} \right)}^{\frac{1}{2}}}={{x}^{\frac{1}{6}}}\]                


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