Advertisements
Advertisements
प्रश्न
The value of (7–1 – 8–1) –1 – (3–1 – 4–1) –1 is ______.
पर्याय
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
Simplify and write the answer in the exponential form.
`1/8 xx (3)^(-3)`
The value of (–2)2×3 – 1 is ______.
On multiplying ______ by 2–5 we get 25.
(–2)0 = 2
am × bm = (ab)m
Simplify:
`(49 xx z^-3)/(7^-3 xx 10 xx z^-5) (z ≠ 0)`
Simplify:
(25 ÷ 28) × 2–7
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.
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.
Find a repeater machine that will do the same work as a `(xx 1/8)` machine.
