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 1

Using law of exponents,

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

Hook-up machine can do the work = 12² × 12³ = 12⁵  ...[∵ a^m × aⁿ = (a)^{m + n}]

So, (×12⁵) machine can do the same work.

Diagram of ×12⁵ single machine.