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प्रश्न
Find a single repeater machine that will do the same work as hook-up.
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उत्तर
Using law of exponents,
(am × an = am + n) ...[∵ a is non-zero integer]
Repeater machine can do the work is equal to 3y × 3y = 32y.
So, (× 32y) single machine can do the same work.
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संबंधित प्रश्न
If x be any integer different from zero and m be any positive integer, then x–m is equal to ______.
If x be any integer different from zero and m, n be any integers, then (xm)n is equal to ______.
55 × 5–5 = ______.
Simplify:
`(49 xx z^-3)/(7^-3 xx 10 xx z^-5) (z ≠ 0)`
`(16 xx 10^2 xx 64)/(2^4 xx 4^2)`
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.
If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use (× 1) machines.
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 | |||
Simplify:
`(4/13)^4 xx (13/7)^2 xx (7/4)^3`
