If y is the reciprocal of x,
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 $y$,

$=1 /(1 / x)^{2}$

$=x^{2} / 1$

$=x^{2}$

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