Question
For hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.

Answer

Using law of exponents, $\left(a^m \times a^n=a^{m+n}\right)[\because a$ is non-zero integer $]$
Hook-up machine work $=(0.5)^2 \times(0.5)^3=(0.5)^5$
So, it $(x 0.5)^5$ machine can for the same work.
Diagram of single $x(0.5)^2$ machine.

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