Answer:
R / 64
Explanation:
Let he length of the wire is L and its resistance is R.
The resistance of the wire is directly proportional to the length of the wire. As the wire is cut into 8 equal pieces so the resistance of small wire is R/8.
Now they are connected in parallel.
The equivalent resistance is given by
[tex]\frac{1}{R_{eq}}= 8\times \frac{8}{R}[/tex]
[tex]R_{eq}=\frac{R}{64}[/tex]
Thus, the equivalent resistance of the new cable is R / 64.