Advertisements
Advertisements
प्रश्न
The value of (7–1 – 8–1) –1 – (3–1 – 4–1) –1 is ______.
विकल्प
44
56
68
12
Advertisements
उत्तर
The value of (7–1 – 8–1) –1 – (3–1 – 4–1) –1 is 44.
Explanation:
Using law of exponents,
`a^-m = 1/a^m` ...[∵ a is non-zero integer]
∴ `(7^-1 - 8^-1)^-1 - (3^-1 - 4^-1)^-1`
= `(1/7 - 1/8)^-1 - (1/3 - 1/4)^-1`
= `(1/56)^-1 - (1/12)^-1`
= 56 – 12
= 44
APPEARS IN
संबंधित प्रश्न
`(-5/7)^-5` is equal to ______.
By multiplying (10)5 by (10)–10 we get ______.
(–4)–4 × (4)–1 = (4)5
Express as a power of a rational number with negative exponent.
`(((-3)/2)^-2)^-3`
Find the value of n.
`(2^n xx 2^6)/2^-3 = 2^18`
`(16 xx 10^2 xx 64)/(2^4 xx 4^2)`
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.
Will the insect ever get to 1? Explain.
Find a single machine that will do the same job as the given hook-up.
a (× 24) machine followed by `(xx (1/2)^2)` machine.
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.
Simplify:
`(4/13)^4 xx (13/7)^2 xx (7/4)^3`
