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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’s work = (0.5)2 × (0.5)3 = (0.5)5 ...[∵ am × an = am + n]
So, (×(0.5)5) machine can for the same work.
Diagram of single ×(0.5)5 machine.
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Fill in the blanks
Find a single machine that will do the same job as the given hook-up.
a (× 23) machine followed by (× 2–2) machine.
Find a single repeater machine that will do the same work as hook-up.
For hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.
Supply the missing information for diagram.
