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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 = 23 × 32 = 8 × 9 = 72
So, it is not possible for a single machine to do the same work.
Since, (× 82) = 64 and (× 92) = 81
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संबंधित प्रश्न
Simplify :
(– 4)5 × (– 4)-10
Simplify and write the answer in the exponential form.
For any two non-zero rational numbers x and y, x4 ÷ y4 is equal to ______.
50 = 5
Fill in the blanks
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 | |||
Mass of Mars is 6.42 × 1029 kg and mass of the Sun is 1.99 × 1030 kg. What is the total mass?
Simplify:
`[(1/2)^2 - (1/4)^3]^-1 xx 2^-3`
