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

Question

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

Uniteasy Admin · Accepted Answer

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

Multiple Choice Question (MCQ)

Answer