NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers

NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers are part of NCERT Solutions for Class 8 Maths. Here we have given NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers.

Board	CBSE
Textbook	NCERT
Class	Class 8
Subject	Maths
Chapter	Chapter 12
Chapter Name	Exponents and Powers
Exercise	Ex 12.1, Ex 12.2
Number of Questions Solved	11
Category	NCERT Solutions

NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers

Chapter 12 Exponents and Powers Exercise 12.1

Question 1.
Evaluate :
(i) 3^-2
(ii) (-4)^-2
(iii)
Solution:

Question 2.
Simplify and express the result in power notation with positive exponent:
(i) (-4)^-5 ÷ (-4)^-5
(ii)
(iii) (-3)^-4 x
(iv) (3^-7 ÷ 3^-10) x 3^-5
Solution:

Question 3.
Find the value of :
(i) (3⁰ + 4^-1) x 2²
(ii) (2^-1 x 4^-1) ÷ 2^-2
(iii)
(iv) (3^-1 4^-1 + 5^-1)⁰
(v)
Solution:

Question 4.
Evaluate
(i)
(ii) (5^-1 x 2^-1) x 6^-1
Solution:

Question 5.
Find the value of m for which 5^m + 5^-3 = 5⁵.
Solution:

Question 6.
Evaluate

Solution:

Question 7.
Simplify :

Solution:

Chapter 12 Exponents and Powers Exercise 12.2

Question 1.
Express the following numbers in standard form
(i) 0.0000000000085
(ii) 0.00000000000942
(iii) 6020000000000000
(iv) 0.00000000837
(v) 31860000000
Solution:

Question 2.
Express the following
(i) 3.02 x 10^-6
(ii) 45 x 10⁴
(iii) 3 x 10^-8
(iv) 1.0001 x 10⁹
(v) 5.8 x 10¹²
(vi) 3.61492 x 10⁶
Solution:

Question 3.
Express the number appearing in the following statements in standard form :
(i) 1 micron is equal to m.
(ii) Charge of an electron is 0.00000000000000000016 coulomb.
(iii) Size of a bacteria is 0.0000005 m.
(iv) Size of a plant cell is 0.00001275 m.
(v) Thickness of a thick paper is 0.07 mm.
Solution:

Question 4.
In a stack there are 5 books each of thickness 20 mm and 5 paper sheets each of thickness 0.016 mm. What is the total thickness of the stack?
Solution:
Thickness of one book =20 mm
∴ Thickness of 5 books = 5 x 20 mm = 100 mm
Thickness of 1 sheet of paper =0.016 mm
Thickness of 5 sheets of paper = 5 x 0.016 mm = 0.08 mm
Total thickness = 100 mm + 0.08 mm
= 100.08 mm = 1.0008 x 10² mm

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