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A wire of resistance $R$ is divided in n equal parts, then these parts are joined in parallel, the equivalent resistance of the combination will be
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$\frac{R}{n^2}$
Resistance of one part $\frac{R}{n}$
Now equivalent resistance of $n$ parts each of resistance $\frac{R}{n}$ in parallel is given by
$R^{\prime}=\frac{R / n}{n}=\frac{R}{n^2}$
Now equivalent resistance of $n$ parts each of resistance $\frac{R}{n}$ in parallel is given by
$R^{\prime}=\frac{R / n}{n}=\frac{R}{n^2}$
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