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प्रश्न
For hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.
उत्तर
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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संबंधित प्रश्न
(–9)3 ÷ (–9)8 is equal to ______.
For a non-zero rational number z, (z–2)3 is equal to ______.
a3 × a–10 = ______.
55 × 5–5 = ______.
50 = 5
(–6)0 = –1
Find a single repeater machine that will do the same work as hook-up.
Supply the missing information for diagram.
The left column of the chart lists the lengths of input chains of gold. Repeater machines are listed across the top. The other entries are the outputs you get when you send the input chain from that row through the repeater machine from that column. Copy and complete the chart.
| Input Length | Repeater Machine | ||
| × 23 | |||
| 40 | 125 | ||
| 2 | |||
| 162 | |||
Find x.
23x = 82x + 1
