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 7¹⁰ × 7⁵⁰ × 7¹ = 7⁶¹

So, (× 7⁶¹) single machine can do the same work.