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Question
Find a single repeater machine that will do the same work as hook-up.
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Solution
Using law of exponents,
(am × an = am + n) ...[∵ a is non-zero integer]
Repeater machine can do the work is equal to `2^2 xx (1/2)^3 xx 2^4`
= `2^6 xx 1/2^3` ...`[∵ a^m/a^n = a^(m - n)]`
= 23
So, (× 23) single machine can do the same work.
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