English

(–5)–2 × (–5)–3 = (–5)–6

Advertisements
Advertisements

Question

(–5)–2 × (–5)–3 = (–5)–6 

Options

  • True

  • False

MCQ
True or False
Advertisements

Solution

This statement is False.

Explanation:

LHS = (–5)–2 × (–5)–3

Using law of exponents,

am × an = (a)m + n  ...[∵ a is non-zero integer]

∴ (–5)–2 × (–5)–3 = (–5)–2 – 3 = (–5)–5

LHS ≠ RHS

shaalaa.com
  Is there an error in this question or solution?
Chapter 8: Exponents and Powers - Exercise [Page 255]

APPEARS IN

NCERT Exemplar Mathematics Exemplar [English] Class 8
Chapter 8 Exponents and Powers
Exercise | Q 71. | Page 255

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

`(-8/2)^0 = 0`


am × bm = (ab)m


Find the multiplicative inverse of (–7)–2 ÷ (90)–1.


If `5^(3x - 1) ÷ 25 = 125`, find the value of x.


Consider a quantity of a radioactive substance. The fraction of this quantity that remains after t half-lives can be found by using the expression 3–t. What fraction of substance remains after 7 half-lives? 


Find a single repeater machine that will do the same work as hook-up.


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.


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

Mass of Mars is 6.42 × 1029 kg and mass of the Sun is 1.99 × 1030 kg. What is the total mass?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×