NCERT Solutions for Class 8 Maths chapter 10 Exercise 10.1 Exponents and Powers - PDF Download

NCERT solutions class 8 maths chapter 10 ex 10.1 exponents and power is all about finding how to solve expressions related to the powers with negative exponents and the law of exponents. This exercise consists of relatively simple questions and provides a comprehensive guide to the evaluation of expressions with exponents. This knowledge of exponents will help students to solve complicated algebraic expressions.

Class 8 maths chapter 10 exercise 10.1 NCERT solutions includes 7 questions on simplifying expressions, expressing power notation, finding value of variables, etc. By practicing these questions, students will be able to work comfortably with the exponentials. Ex 10.1 class 8 maths chapter 10 NCERT solutions are prepared by subject experts of eSaral. These solutions are explained in detailed form where students will gain in-depth understanding of concepts. NCERT solutions class 8 maths chapter 10 ex 10.1 exponents and powers are available in PDF format at eSaral. Students can also download the free PDF of these solutions for preparing exams. 

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Topics Covered in Exercise 10.1 Class 8 Mathematics Questions

Ex 10.1 class 8 maths chapter 10 exponents and powers is based on the topic of law of exponents and powers with negative exponents. You will gain a thorough understanding of these topics by solving questions of ex 10.1.

Exponents and Powers

The Exponential form, also known as the exponents, indicates the number of times the number is to be multiplied. For example 10⁵

Here, the base is 10, the exponent is 5, and the whole number is the power. We pronounce it as 10 raised to the power 5. The exponent can be either positive or negative.

1. Powers with Negative Exponents

The exponents can also be negative and can be converted to a positive number using the following method.

$10^{-4}=\frac{1}{10^4}$

This indicates that for every non-zero negative integers,

$a^{-m}=\frac{1}{a^m}$

where m is the positive integer and a^m is the multiplicative inverse of a^-m.

      2. Law of Exponents

If we have bases a and b, and exponents m and n, then

• aman=a^m+n
• (a^m)ⁿ
• $\frac{a^m}{a^n}=a^{m-n}$
• a^mb^m = (ab)^m
• a⁰ = 1
• a¹ = a

Tips for Solving Exercise 10.1 Class 8 Chapter 10 Exponents and Powers

Ex 10.1 of NCERT solutions class 8 maths chapter 10 ex 10.1 will emphasize the fundamental comprehension of exponents and their associated concepts. To successfully solve ex 10.1, it is important to be aware of some helpful tips associated with questions.

1. By practicing the questions according to the exponents' laws, students will acquire the necessary abilities for advanced algebras.
2. By going through these solutions provided by eSaral’s experts, students will be able to develop the reasoning and logic needed to solve these expressions.
3. It is recommended to thoroughly re-evaluate all terms and laws before answering the questions in NCERT solutions class 8 maths chapter 10 ex 10.1. Moreover, it will help the students to solve all these questions easily.
   

Importance of Solving Ex 10.1 Class 8 Maths Chapter 10 Exponents and Powers

Here, we have provided some benefits of solving ex 10.1 class 8 maths chapter 10 exponents and powers.

1. NCERT solutions for class 8 maths chapter 10 ex 10.1 are prepared by an academic team of mathematics with years of experience which are solved in easy to understand language.
2. The concepts and topics of law of exponents and powers with negative exponents are elaborated step by step so that students can comprehend every question in NCERT solutions class 8 maths chapter 10 ex 10.1.
3. NCERT solutions class 8 maths ex 10.1 chapter 10 exponents and powers have also provided examples so that students can practice these examples before solving the exercise questions.
4. Students can download the PDF of these solutions provided on eSaral to practice questions.

Frequently Asked Questions

Question 1. Where can I get NCERT solutions for class 8 maths chapter 10 ex 10.1?

Answer 1. You can download NCERT solutions for class 8 maths chapter 10 ex 10.1 from the website of eSaral. These solutions can be downloaded fre of cost in PDF format.

Question 2. What are exponents and powers?

Answer 2. The exponent indicates the number of times the number is to be multiplied. It is also called the exponential form. For example 1008. Here, the base is 100, the exponent is 8, and the whole number is the power. The exponent can be either positive or negative.