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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.

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उत्तर
Using law of exponents,
am × an = (a)m + n ...[∵ a is non-zero integer]
Hook-up machine can do the work = 73 × 72 = 75
So, (x 75) single machine can do the same work.
Diagram of single × 75 machine.

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संबंधित प्रश्न
Simplify :
(– 4)5 × (– 4)-10
The value of `1/4^-2` is ______.
For any two non-zero rational numbers x and y, x4 ÷ y4 is equal to ______.
`10^-2 = 1/100`
50 = 5
Find the value of x so that `(5/3)^-2 xx (5/3)^-14 = (5/3)^(8x)`
Use the properties of exponents to verify that statement is true.
`4^(n - 1) = 1/4(4)^n`
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.
5x + 5x – 1 = 750
