Question

Question 159(v)

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

Answer 1

Using law of exponents, $a^m\times a^n=a^{m+n}$ [$\because$ a is non-zero integer]
Repeator machine can do the work is equal $2^2\times {\left(\frac{1}{2}\right)}^3\times 2^4=2^6\times \frac{1}{2^3}=2^3[\because \frac{a^m}{a^n}=a^{m-n}]$
So, $(\times 2^3)$ single machine can do the same work.