Advertisements
Advertisements
प्रश्न
The reciprocal of `(2/5)^-1` is ______.
पर्याय
`2/5`
`5/2`
`- 5/2`
` - 2/5`
Advertisements
उत्तर
The reciprocal of `(2/5)^-1` is `underlinebb(5/2)`.
Explanation:
Using law of exponents,
`a^-m = 1/a^m` ...[∵ a is non-zero integer]
∴ `(2/5)^-1 = 1/(2/5)^1 = 5/2`
APPEARS IN
संबंधित प्रश्न
If x be any non-zero integer and m, n be negative integers, then xm × xn is equal to ______.
`(-5/7)^-5` is equal to ______.
The value of `(1/2^3)^2` is equal to ______.
Express as a power of a rational number with negative exponent.
`(((-3)/2)^-2)^-3`
Simplify:
`(49 xx z^-3)/(7^-3 xx 10 xx z^-5) (z ≠ 0)`
Find the value of x so that (–2)3 × (–2)–6 = (–2)2x – 1
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 x.
`((-6)/7)^(x - 7) = 1`
Simplify:
`(4/13)^4 xx (13/7)^2 xx (7/4)^3`
