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 = 2³ × 3² = 8 × 9 = 72

So, it is not possible for a single machine to do the same work.

Since, (× 8²) = 64 and (× 9²) = 81