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 `2^2 xx (1/2)^3 xx 2^4`

= `2^6 xx 1/2^3`  ...`[∵ a^m/a^n = a^(m - n)]`

= 2³  

So, (× 2³) single machine can do the same work.