Advertisements
Advertisements
प्रश्न
Which of the following is not the reciprocal of `(2/3)^4`?
विकल्प
`(3/2)^4`
`(3/2)^-4`
`(2/3)^-4`
`3^4/2^4`
Advertisements
उत्तर
`bb((3/2)^-4)`
Explanation:
Reciprocal of a is `1/a`.
Similarly, `(2/3)^4 = (3/2)^4 = 3^4/2^4 = (2/3)^-4`
Hence, `(3/2)^-4` is not the reciprocal of `(2/3)^4`
APPEARS IN
संबंधित प्रश्न
Simplify and write the answer in the exponential form.
(25 ÷ 28)5 × 2-5
Simplify and write the answer in the exponential form.
`(- 3)^4 xx (5/3)^4`
If y be any non-zero integer, then y0 is equal to ______.
For a non-zero integer x, x7 ÷ x12 is equal to ______.
`(3/4)^5 ÷ (5/3)^5` is equal to ______.
Cube of `-1/2` is ______.
Find the value of x so that (2–1 + 4–1 + 6–1 + 8–1)x = 1
In a repeater machine with 0 as an exponent, the base machine is applied 0 times. What do you think the value of 60 is?
Long back in ancient times, a farmer saved the life of a king’s daughter. The king decided to reward the farmer with whatever he wished. The farmer, who was a chess champion, made an unusal request:
“I would like you to place 1 rupee on the first square of my chessboard, 2 rupees on the second square, 4 on the third square, 8 on the fourth square, and so on, until you have covered all 64 squares. Each square should have twice as many rupees as the previous square.” The king thought this to be too less and asked the farmer to think of some better reward, but the farmer didn’t agree.
How much money has the farmer earned?
[Hint: The following table may help you. What is the first square on which the king will place at least Rs 10 lakh?]
| Position of Square on chess board |
Amount (in Rs) |
| 1st square | 1 |
| 2nd square | 2 |
| 3rd square | 4 |
Find x.
`(2/5)^(2x + 6) xx (2/5)^3 = (2/5)^(x + 2)`
