Advertisements
Advertisements
प्रश्न
`(16 xx 10^2 xx 64)/(2^4 xx 4^2)`
उत्तर
Using laws of exponents, am ÷ an = (a)m – n and am × an = am + n ...[∵ a is non-zero integer]
∴ `(16 xx 10^2 xx 64)/(2^4 xx 4^2) = (4)^2 xx 10^2 xx 2^-4 xx (4)^3 xx 4^-2` ...`[(∵ 64 = 4 xx 4 xx 4),(and 16 = 4 xx 4)]`
= (4)3 × 102 × 2–4
= (22)3 × 102 × 2–4
= 26 × 102 × 2–4
= 22 × 102 ...[∵ 22 = 4]
= 4 × 100
= 400
APPEARS IN
संबंधित प्रश्न
Which of the following is equal to `(- 3/4)^-3`?
The value of (7–1 – 8–1) –1 – (3–1 – 4–1) –1 is ______.
For a non-zero rational number z, (z–2)3 is equal to ______.
By what number should we multiply (–29)0 so that the product becomes (+29)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.
- 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.
Use the properties of exponents to verify that statement is true.
`4^(n - 1) = 1/4(4)^n`
What happens when 1 cm worms are sent through these hook-ups?
Find x.
`(2/5)^(2x + 6) xx (2/5)^3 = (2/5)^(x + 2)`
Find x.
2x + 2x + 2x = 192
Find x.
23x = 82x + 1
