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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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(25 ÷ 28) × 2–7
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`(49 xx z^-3)/(7^-3 xx 10 xx z^-5) (z ≠ 0)`
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`((3^-2)^2 xx (5^2)^-3 xx (t^-3)^2)/((3^-2)^5 xx (5^3)^-2 xx (t^-4)^3`
