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Question
For hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.
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Solution
Using law of exponents,
am × an = (a)m + n ...[∵ a is non-zero integer]
Hook-up machine can do the work = 122 × 123 = 125 ...[∵ am × an = (a)m + n]
So, (×125) machine can do the same work.
Diagram of ×125 single machine.
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For hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.
The left column of the chart lists the lengths of input chains of gold. Repeater machines are listed across the top. The other entries are the outputs you get when you send the input chain from that row through the repeater machine from that column. Copy and complete the chart.
| Input Length | Repeater Machine | ||
| × 23 | |||
| 40 | 125 | ||
| 2 | |||
| 162 | |||
