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प्रश्न
Find a single machine that will do the same job as the given hook-up.
a (× 23) machine followed by (× 2–2) machine.
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उत्तर
(× 23) machine followed by (× 2–2) machine.
So, it produces `2 xx 2 xx 2 xx 1/2 xx 1/2 = 2^1`
Hence, (× 21) single machine can do the same job as the given hook-up.
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संबंधित प्रश्न
The value of `(2/5)^-2` is ______.
If x be any non-zero integer, then x–1 is equal to ______.
The expression for 35 with a negative exponent is ______.
Find the value of x so that (2–1 + 4–1 + 6–1 + 8–1)x = 1
`(125 xx x^-3)/(5^-3 xx 25 xx x^-6)`
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.
For hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.

Find x.
`(- 1/7)^-5 ÷ (- 1/7)^-7 = (-7)^x`
If a = – 1, b = 2, then find the value of the following:
ab × ba
Simplify:
`[(1/2)^2 - (1/4)^3]^-1 xx 2^-3`
