NCERT Solutions | Class 8 Maths Chapter 12 | Exponents and Powers

CBSE Solutions | Maths Class 8

Check the below NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Pdf free download. NCERT Solutions Class 8 Maths were prepared based on the latest exam pattern. We have Provided Exponents and Powers Class 8 Maths NCERT Solutions to help students understand the concept very well.

NCERT | Class 8 Maths

NCERT Solutions Class 8 Maths
Book:	National Council of Educational Research and Training (NCERT)
Board:	Central Board of Secondary Education (CBSE)
Class:	8th
Subject:	Maths
Chapter:	12
Chapters Name:	Exponents and Powers
Medium:	English

Exponents and Powers | Class 8 Maths | NCERT Books Solutions

You can refer to MCQ Questions for Class 8 Maths Chapter 12 Exponents and Powers to revise the concepts in the syllabus effectively and improve your chances of securing high marks in your board exams.

NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Exercise 12.1

Ex 12.1 Class 8 Maths Question 1.

Evaluate :
(i) 3^-2
(ii) (-4)^-2
(iii) \(\left( \frac { 1 }{ 2 } \right) ^{ -5 }\)

Solution:

Ex 12.1 Class 8 Maths Question 2.

Simplify and express the result in power notation with positive exponent:
(i) (-4)^-5 ÷ (-4)^-5
(ii) \(\left( \frac { 1 }{ { 2 }^{ 3 } } \right) ^{ 2 }\)
(iii) (-3)^-4 x \(\left( \frac { 5 }{ 3 } \right) ^{ 4 }\)
(iv) (3^-7 ÷ 3^-10) x 3^-5

Solution:

Ex 12.1 Class 8 Maths Question 3.

Find the value of :
(i) (3⁰ + 4^-1) x 2²
(ii) (2^-1 x 4^-1) ÷ 2^-2
(iii) \(\left( \frac { 1 }{ 2 } \right) ^{ -2 }+\left( \frac { 1 }{ 3 } \right) ^{ -2 }+\left( \frac { 1 }{ 4 } \right) ^{ -2 }\)
(iv) (3^-1 4^-1 + 5^-1)⁰
(v) \(\left\{ \left( \frac { -2 }{ 3 } \right) ^{ -2 } \right\} ^{ 2 }\)

Solution:

Ex 12.1 Class 8 Maths Question 4.

Evaluate
(i) \(\frac { { 8 }^{ -1 }\times { 5 }^{ 3 } }{ { 2 }^{ -4 } } \)
(ii) (5^-1 x 2^-1) x 6^-1

Solution:

Ex 12.1 Class 8 Maths Question 5.

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

Solution:

Ex 12.1 Class 8 Maths Question 6.

Evaluate

Solution:

Ex 12.1 Class 8 Maths Question 7.

Simplify :

Solution:

NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers Exercise 12.2

Ex 12.2 Class 8 Maths Question 1.

Express the following numbers in standard form
(i) 0.0000000000085
(ii) 0.00000000000942
(iii) 6020000000000000
(iv) 0.00000000837
(v) 31860000000

Solution:

Ex 12.2 Class 8 Maths 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:

Ex 12.2 Class 8 Maths Question 3.

Express the number appearing in the following statements in standard form :
(i) 1 micron is equal to \(\frac { 1 }{ 1000000 } \) 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:

Ex 12.2 Class 8 Maths 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