Question
Find a single repeater machine that will do the same work as hook-up.

Answer

Using law of exponents, $\left(a^m \times a^n=a^{m+n}\right)$$[\therefore$ a is non-zero integer$]$
Repeator machine can do the work is equal to $2^2× 2^3× 2^4= 2^9$
so, $(x2^9)$ single machine can do the same work.

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