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NCERT Solutions for Class 8 maths Chapter 10: Exponents and Powers

0 Solved Questions & Exercises2 min estimated readingUpdated 2026-09-16
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NCERT Class 8 Mathematics Solutions
Chapter 10: Exponents and Powers

  • Class 8 Maths Exponents and Powers Exercise 12.1
  • Class 8 Maths Exponents and Powers Exercise 12.2
  • Exponents and Powers Class 8 Extra Questions

Ex 12.1 Class 8 Maths Question 1.
Evaluate:
(i) 3-2
(ii) (-4)-2
(iii) ()-5
Solution:

Exponents and Powers Diagram 1

Ex 12.1 Class 8 Maths Question 2.
Simplify and express the result in power notation with a positive exponent.

Solution:

Exponents and Powers Diagram 2

Exponents and Powers Diagram 3

Exponents and Powers Diagram 4

Ex 12.1 Class 8 Maths Question 3.
Find the value of

Solution:

Exponents and Powers Diagram 5

Exponents and Powers Diagram 6

Exponents and Powers Diagram 7

Ex 12.1 Class 8 Maths Question 4.

Solution:

Exponents and Powers Diagram 8

Exponents and Powers Diagram 9

Ex 12.1 Class 8 Maths Question 5.
Find the value of m for which 5m ÷ 5-3 = 55.
Solution:
5m ÷ 5-3 = 55
⇒ 5m-(-3) = 55 [∵ am ÷ an = am-n]
⇒ 5m+3 = 55
Comparing the powers of equal bases, we have
m + 3 = 5
m = 5 – 3 = 2, i.e., m = 2

Ex 12.1 Class 8 Maths Question 6.
Evaluate:

Solution:

Exponents and Powers Diagram 10

Exponents and Powers Diagram 11

Exponents and Powers Diagram 12

Ex 12.1 Class 8 Maths Question 7.
Simplify:

Solution:

Exponents and Powers Diagram 13

Exponents and Powers Diagram 14

Exponents and Powers Diagram 15

Exponents and Powers Diagram 16

Exponents and Powers Diagram 17

Exponents and Powers Diagram 18

Exponents and Powers Diagram 19

Exponents and Powers Diagram 20

More CBSE Class 8 Study Material

  • NCERT Solutions
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