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’s work = (0.5)² × (0.5)³ = (0.5)⁵   ...[∵ a^m × aⁿ = a^{m + n}]

So, (×(0.5)⁵) machine can for the same work.

Diagram of single ×(0.5)⁵ machine.