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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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Solve the following:
`(1/2)^-2 ÷ (1/2)^-3`
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.
Simplify:
`[(1/2)^2 - (1/4)^3]^-1 xx 2^-3`
