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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 = `2^2 xx (1/3)^3 xx 5^4`
= `4 xx 1/27 xx 625`
= `2500/27`
= 92.59
So, it is not possible for a single machine to do the same work.
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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.

If a = – 1, b = 2, then find the value of the following:
ab × ba
Simplify:
`((9)^3 xx 27 xx t^4)/((3)^-2 xx (3)^4 xx t^2)`
