#### 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

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 3 months ago

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