Multiple Choice Question (MCQ)

If a^{-\frac{1}{2} }= x , where a > 0 and x > 0 , which of the following equations gives a in terms of x ?

  1. ×

    a = \dfrac{1}{\sqrt{x} }

  2. a=\dfrac{1}{x^2}

  3. ×

    a=\sqrt{x}

  4. ×

    a=-x^2

Collected in the board: Calculate algebraic expressions

Steven Zheng posted 1 year ago


Answer

  1. \because a^{-\frac{1}{2} }= x

    Squaring both sides of the equation

    a^{-1}=x^2 or \dfrac{1}{a}=x^2

    Taking reciprocal of both sides of the equation gives

    a=\dfrac{1}{x^2}

    B is correct choice

Steven Zheng posted 2 weeks ago

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