Advertisements
Advertisements
प्रश्न
The value for (–7)6 ÷ 76 is ______.
Advertisements
उत्तर
The value for (–7)6 ÷ 76 is 1.
Explanation:
Using law of exponents,
am ÷ an = (a)m – n ...[∵ a is non-zero integer]
∴ (–7)6 ÷ 76 = (7)6 ÷ (7)6 ...[(– am) = (am), if m is an even number]
= (7)6 – 6
= (7)0 ...[∵ a0 = 1]
= 1
Hence, (–7)6 ÷ 76 = 1
APPEARS IN
संबंधित प्रश्न
Solve the following:
100–10
Simplify:
`(((-2)/3)^-2)^3 xx (1/3)^-4 xx 3^-1 xx 1/6`
Find the value of x so that (–2)3 × (–2)–6 = (–2)2x – 1
Find the value of x–3 if x = (100)1 – 4 ÷ (100)0.
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.
Where will the insect be after n hops?
Find a single machine that will do the same job as the given hook-up.
a (× 23) machine followed by (× 2–2) machine.
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.
Find a single repeater machine that will do the same work as hook-up.
Find x.
5x + 5x – 1 = 750
Simplify:
`[(4/3)^-2 - (3/4)^2]^((-2))`
