Advertisements
Advertisements
प्रश्न
(–4)–4 × (4)–1 = (4)5
विकल्प
True
False
उत्तर
This statement is False.
Explanation:
LHS = (–4)–4 × (4)–1
Using law of exponents, am × an = (a)m + n ...[∵ a is non-zero integer]
∴ (–4)–4 × (4)–1 = (4)–4 × (4)–1
= (4)–4 – 1
= (4)–5
LHS ≠ RHS
APPEARS IN
संबंधित प्रश्न
The value of (7–1 – 8–1) –1 – (3–1 – 4–1) –1 is ______.
Find the value [4–1 + 3–1 + 6–2]–1 = ______.
On dividing 85 by ______ we get 8.
The expression for 35 with a negative exponent is ______.
329.25 = 3 × 102 + 2 × 101 + 9 × 100 + 2 × 10–1 + 5 × 10–2
(–7)–4 × (–7)2 = (–7)–2
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.
- 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.
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.
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 |
