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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 710 × 750 × 71 = 761
So, (× 761) single machine can do the same work.
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संबंधित प्रश्न
The value of `(-2/3)^4` is equal to ______.
For a non-zero integer x, (x4)–3 is equal to ______.
The value of (7–1 – 8–1) –1 – (3–1 – 4–1) –1 is ______.
35 ÷ 3–6 can be simplified as ______.
`x^m/y^m = (y/x)^-m`
An insect is on the 0 point of a number line, hopping towards 1. She covers half the distance from her current location to 1 with each hop. So, she will be at `1/2` after one hop, `3/4` after two hops, and so on.

- Make a table showing the insect’s location for the first 10 hops.
- Where will the insect be after n hops?
- Will the insect ever get to 1? Explain.
Find a single repeater machine that will do the same work as hook-up.

Find a single repeater machine that will do the same work as hook-up.

Find x.
`(2/5)^(2x + 6) xx (2/5)^3 = (2/5)^(x + 2)`
Find x.
23x = 82x + 1
