NCERT Solutions Class 8 Maths Chapter 12 Exponents and Powers – Here are all the NCERT solutions for Class 8 Maths Chapter 12. This solution contains questions, answers, images, explanations of the complete chapter 12 titled Exponents and Powers of Maths taught in class 8. If you are a student of class 8 who is using NCERT Textbook to study Maths, then you must come across chapter 12 Exponents and Powers. After you have studied lesson, you must be looking for answers of its questions. Here you can get complete NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers in one place.
NCERT Solutions Class 8 Maths Chapter 12 Exponents and Powers
Here on AglaSem Schools, you can access to NCERT Book Solutions in free pdf for Maths for Class 8 so that you can refer them as and when required. The NCERT Solutions to the questions after every unit of NCERT textbooks aimed at helping students solving difficult questions.
For a better understanding of this chapter, you should also see summary of Chapter 12 Exponents and Powers , Maths, Class 8.
| Class | 8 |
| Subject | Maths |
| Book | Mathematics |
| Chapter Number | 12 |
| Chapter Name |
Exponents and Powers |
NCERT Solutions Class 8 Maths chapter 12 Exponents and Powers
Class 8, Maths chapter 12, Exponents and Powers solutions are given below in PDF format. You can view them online or download PDF file for future use.
Did you find NCERT Solutions Class 8 Maths chapter 12 Exponents and Powers helpful? If yes, please comment below. Also please like, and share it with your friends!
NCERT Solutions Class 8 Maths chapter 12 Exponents and Powers- Video
You can also watch the video solutions of NCERT Class8 Maths chapter 12 Exponents and Powers here.
If you liked the video, please subscribe to our YouTube channel so that you can get more such interesting and useful study resources.
Download NCERT Solutions Class 8 Maths chapter 12 Exponents and Powers In PDF Format
You can also download here the NCERT Solutions Class 8 Maths chapter 12 Exponents and Powers in PDF format.
Click Here to download NCERT Solutions for Class 8 Maths chapter 12 Exponents and Powers
Question & Answer
Q.1: Find the multiplicative inverse of the following
(i) 2–4
(ii) 10–5
(iii) 7–2
(iv) 5–3
Ans : Missing
Q.2: Expand the following numbers using exponents.
(i) 1025.63
(ii) 1256.249
Ans : Missing
Q.3: Simplify and write in exponential form.
(i) (–2)–3 × (–2)– 4
(ii) p3 × p–10
(iii) 32 × 3–5 × 36
Ans : Missing
Q.4: Evaluate
\(\begin{array}{lll}{\text { (i) } 3^{-2}} & {\text { (ii) }(-4)^{-2}} & {\text { (iii) }\left(\frac{1}{2}\right)^{-5}}\end{array}\)
Ans : (i) \(3^{3^{-2}}=\frac{1}{3^{2}}=\frac{1}{9}\quad\left(a^{-m}=\frac{1}{a^{m}}\right)\) (ii) \((-4)^{(-4)^{-2}}=\frac{1}{(-4)^{2}}=\frac{1}{16}\quad\left(a^{-m}=\frac{1}{a^{m}}\right)\) (iii) \(\left(\frac{1}{2}\right)^{-5}=\frac{1}{(2)^{-5}}=(2)^{5}=2 \times 2 \times 2 \times 2 \times 2=32\)
Q.5: Simplify and express the result in power notation with positive exponent.
\(\begin{array}{l}{\text { (i) }(-4)^{5} \div(-4)^{8} \quad \text { (ii) }\left(\frac{1}{2^{3}}\right)^{2}} \\ {\text { (ii) } \quad(-3)^{4} \times\left(\frac{5}{3}\right)^{4} \text { (iv) }\left(3^{-7} \div 3^{-10}\right) \times 3^{-5}\left(\text { v) } 2^{-3} \times(-7)^{-3}\right.}\end{array}\)
Ans : \(\begin{array}{l}{\quad(i)(-4)^{5} \div(-4)^{8}=(-4)^{5-8}\left(a^{m} \div a^{n}=a^{m-n}\right)} \\ {=(-4)^{-3}}\end{array}\) \(=\frac{1}{(-4)^{3}} \quad \quad \quad \quad\left(a^{-m}=\frac{1}{a^{m}}\right)\) (ii) \(\left(\frac{1}{2^{3}}\right)^{2}=\frac{1}{\left(2^{3}\right)^{2}}=\frac{1}{2^{6}}\) \(\left(\left(a^{m}\right)^{n}=a^{a n}\right)\) (iii) \((-3)^{4} \times\left(\frac{5}{3}\right)^{4}=(-1 \times 3)^{4} \times \frac{5^{4}}{3^{4}}\) \(=(-1)^{4} \times 3^{4} \times \frac{5^{4}}{3^{4}} \quad\left[(a b)^{m}=a^{m} \times b^{m}\right]\) \(\begin{array}{l}{=(-1)^{4} \times 5^{4}} \\ {=5^{4}}\end{array}\left[(-1)^{4}=1\right]\) \(\begin{array}{l}{(\mathrm{iv})\left(3^{-7} \div 3^{-10}\right) \times 3^{-5}=\left(3^{-7-(-10)}\right) \times 3^{-5}\left(\mathrm{a}^{m} \div \mathrm{a}^{n}=a^{m-n}\right)} \\ {=3^{3} \times 3^{-5}} \\ {=3^{3+(-5)}\left(\mathrm{a}^{m} \times \mathrm{a}^{n}=\mathrm{a}^{m+n}\right)} \\ {=3^{-2}}\end{array}\) \(=\frac{1}{3^{2}}\) \(\left(a^{-m}=\frac{1}{a^{m}}\right)\) \(\begin{array}{l}{(v) 2^{-3} \times(-7)^{-3}=^{\frac{1}{2^{3}} \times \frac{1}{(-7)^{3}}}} \\ {=\frac{1}{[2 \times(-7)]^{3}}} \\ {=\frac{1}{(-14)^{3}}}\end{array}\) Hint : \(\left(a^{-m}=\frac{1}{a^{m}}\right)\) Hint : \(\left[a^{m} \times b^{m}=(a b)^{m}\right]\)
NCERT / CBSE Book for Class 8 Maths
You can download the NCERT Book for Class 8 Maths in PDF format for free. Otherwise you can also buy it easily online.
- Click here for NCERT Book for Class 8 Maths
- Click here to buy NCERT Book for Class 8 Maths
All NCERT Solutions Class 8
- NCERT Solutions for Class 8 English
- NCERT Solutions for Class 8 Hindi
- NCERT Solutions for Class 8 Maths
- NCERT Solutions for Class 8 Science
- NCERT Solutions for Class 8 Social Science
- NCERT Solutions for Class 8 Sanskrit
All NCERT Solutions
You can also check out NCERT Solutions of other classes here. Click on the class number below to go to relevant NCERT Solutions of Class 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12.
| Class 1 | Class 2 | Class 3 |
| Class 4 | Class 5 | Class 6 |
| Class 7 | Class 8 | Class 9 |
| Class 10 | Class 11 | Class 12 |
Download the NCERT Solutions app for quick access to NCERT Solutions Class 8 Maths Chapter 12 Exponents and Powers. It will help you stay updated with relevant study material to help you top your class!
Previous Next
To get fastest exam alerts and government job alerts in India, join our Telegram channel.
Discussion about this post