Question:
If $y$ is the reciprocal of $x$, then the reciprocal of $y^{2}$ in terms of $x$ will be_________.
Solution:
If $y$ be the reciprocal of $x$, then the reciprocal of $y^{2}$ in terms of $x$ will be $\underline{x}^{2}$.
From the question, $(1 / x)=y$
Then,
Reciprocal of $y^{2}=1 / y^{2}$
Substitute $(1 / x)$ in the place of $y$,
$=1 /(1 / x)^{2}$
$=x^{2} / 1$
$=x^{2}$