Question
Find a single repeater machine that will do the same work as hook-up.
✓
Answer
Using law of exponents, $ (a^m× a^n= a^{m+n})$ $[\therefore$ a is non-zero integer$]$
Repeator machine can do the work is equal to $2^2\times\big(\frac{1}{2}\big)^3\times2^4=2^6\times\frac{1}{2^3}=2^3$$\Big[\because\frac{\text{a}^{\text{m}}}{\text{a}^{\text{n}}}=\text{a}^{\text{m}-\text{n}}\Big]$
so, $(x2^3)$ single machine can do the same work.
Repeator machine can do the work is equal to $2^2\times\big(\frac{1}{2}\big)^3\times2^4=2^6\times\frac{1}{2^3}=2^3$$\Big[\because\frac{\text{a}^{\text{m}}}{\text{a}^{\text{n}}}=\text{a}^{\text{m}-\text{n}}\Big]$
so, $(x2^3)$ single machine can do the same work.
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