Question

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

Answer 1

Using law of exponents,

(a^m × aⁿ = a^{m + n})   ...[∵ a is non-zero integer]

Repeater machine can do the work is equal to `(1/2)^2 xx (1/3)^2`

= `1/2 xx 1/2 xx 1/3 xx 1/3`

= `1/(2 xx 3 xx 2 xx 3)`

= `1/(6)^2`

So, `(xx (1/6)^2)` single machine can do the same work.