Important questions for Exponents Class 8 Chapter 12 CBSE

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Question 1
Evaluate

2^-2
(- 2)^{- 2}
(3/2)^-5

Answer
As we know that
b^-n= 1/bⁿ
(i) 2^-2 = 1/ 2² =1/4
(ii) (-2)^-2 = 1/(-2)²= 1/4
(iii) (3/2)^-5  =3-⁵/ 2^-5 =2⁵/3⁵= 32/243
Question 2
Simplify and express the result in power notation with positive exponent.
(i) (-2)⁵ ÷   (-2)⁴
(ii) (1/2)² × (2/5)²
(iii) (-5)² × (3/5)

Answer
(i) (-2)⁵ ÷   (-2)⁴
= (-2)⁵ / (-2)⁴
= (-2)^5-4
=-2
(ii) (1/2)² × (2/5)²
= (1/4) X   (4/25)
= 1/25
iii) (-5)² × (3/5)
=25 × (3/5) =15
Question 3
Find the value of.

(4⁰ + 4^{- 1}) × 2²
(3^{- 1} × 9^{- 1}) ÷ 3^{- 2}
(11^{- 1} + 12^{- 1} + 13^{- 1})⁰

Answer

(4⁰ + 4^{- 1}) × 2² = (1+1/4) × 4
= 4+1=5
(3^{- 1} × 9^{- 1}) ÷ 3^{- 2} = [(1/3) × (1/9)] ÷ (1/9)
=1/3

         3. (11^{- 1} + 12^{- 1} + 13^{- 1})⁰
            =1   as a⁰=1
Question 4
Find the value of x here
(11/9)³   x (9/11)⁶ = (11/9)^2x-1

Answer
(11/9)³   x (11/9)^-6 = (11/9)^2x-1
(11/9)^3-6 = (11/9)^2x-1
-3=2x-1
Or
x=-1

Question 5
Find the value of m for which 2^m ÷ 2^-4 = 4⁵
Answer
2^m ÷ 2^-4 = 4⁵
2^m × (1/2^-4) = 2¹⁰
2^m+4 =2¹⁰
So m+4=10
m=6
Question 6
Express the following numbers in standard form.
(i) 0.0000000015 (ii) 0.00000001425
(iii) 102000000000000000

Answer

0.0000000015 =1.5 ×10^-9
0.00000001425
=1.425×10^-8

3. 102000000000000000
=1.02×10¹⁷
Question 7
Express the following numbers in usual form.
(i) 34.02 x 10^-5 (ii) 9.5 x 10⁵
(iii) 9 x 10^-4 (iv) 2.0001 x 10⁸

Answer

34.02 x 10^-5 = .0003402

      2. 9.5 x 10⁵
     =950000
    3. 9 x 10^-4
    =.0009
    4. 2.0001 x 10⁸
=200010000

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Also Read

Notes
- Exponent and Power Class 8 Notes
- |
Ncert Solutions
- Exponent and Power Class 8 Ncert Solution Exercise 12.1
- Exponent and Power Class 8 Ncert Solution Exercise 12.2
Assignments
- Exponent and Power Class 8 Important questions

Class 8 Maths Class 8 Science

Reference Books for class 8 Math

Given below are the links of some of the reference books for class 8 Math.

Mathematics Foundation Course for JEE/Olympiad : Class 8 This book can take students maths skills further. Only buy if child is interested in Olympiad/JEE foundation courses.
Mathematics for Class 8 by R S Aggarwal Detailed Mathematics book to clear basics and concepts. I would say it is a must have book for class 8 student.
Pearson Foundation Series (IIT -JEE / NEET) Physics, Chemistry, Maths & Biology for Class 8 (Main Books) | PCMB Combo : These set of books could help your child if he aims to get extra knowledge of science and maths. These would be helpful if child wants to prepare for competitive exams like JEE/NEET. Only buy if you can provide help to the child while studying.
Reasoning Olympiad Workbook - Class 8 :- Reasoning helps sharpen the mind of child. I would recommend students practicing reasoning even though they are not appearing for Olympiad.

You can use above books for extra knowledge and practicing different questions.

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Important questions for Exponents Class 8 Chapter 12 CBSE

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