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NCERT Solutions for class 9 Maths Chapter 1 Exercise 1.5 Number Systems - PDF Download

Class 9

NCERT solutions for class 9 maths chapter 1 ex 1.5 Number Systems describes the law of exponents for real numbers. This section further elaborates on the application of these laws to negative exponents through the use of simple examples. 

Students will be taught that the exponent laws they have learned previously can be extended to include the base of a positive real and its corresponding exponent as a rational number. The Class 9 maths chapter 1 exercise 1.5 NCERT solutions is composed of 3 questions divided into sub-parts. This exercise will help you understand the exponent laws associated with rational numbers.

You can download the answers in free PDF format which you can use at your own speed. These are highly beneficial for achieving high scores in the exams. 

Topics Covered in Exercise 1.5 class 9 Mathematics Questions

Ex 1.5 class 9 maths solutions explores the concepts of the laws of exponents for real numbers.


Laws of Exponents for Real Numbers

  1. Laws of Exponents for Real Numbers 

Exponents are utilized to represent the sequential multiplication of a number on its own. For instance, the number 7 is represented as 7^3. The exponent in this example is '3', which indicates the number of times 7 is multiplied. The base value of 7 is the actual number being multiplied. In other words, an exponent or a power indicates how many times a number is to be multiplied. For example, a power of 2 indicates that the base is to be multiplied twice with itself. 

The following are the important laws of exponents.

  • a^m×a^n = a^m+n

  • a^m/a^n = a^m-n

  • (a^m)^n = a^mn

  •  a^pb^p = (ab)^p

Tips for Solving Exercise 1.5 class 9 chapter 1 Number Systems

NCERT solutions class 9 maths chapter 1 ex 1.5 is about the law of exponents.

  1. In order to gain a better understanding of exponents when working with real numbers, students are encouraged to revise their previous concepts and understanding of exponents in order to facilitate the application of the formulas in challenging questions.

  2. NCERT solutions class 9 maths chapter 1 ex 1.5 will build your analytical and mental maths skills. You can also build your confidence in solving maths problems.

Importance of Solving Ex 1.5 class 9 Maths chapter 1 Number Systems

Here are some of the advantages of solving NCERT solutions class 9 maths chapter 1 ex 1.5.

  1. Class 9 maths chapter 1 ex 1.5 strengthens the mathematical knowledge of the laws of exponents on real numbers by solving the NCERT solutions.

  2. These solutions are accurate and can be implemented by students to help them prepare for their board tests.

  3. Each solution is structured in a sequential manner, with detailed descriptions.

  4. NCERT solutions for class 9 maths ex 1.5 assists in developing a basic comprehension of exponents and powers.

Frequently Asked Questions

Question 1. What are exponents in NCERT solutions class 9 maths chapter 1 ex 1.5?

Answer 1. exponents, also referred to as powers, indicate the number of times the base number can be multiplied. For example, 2 must be multiplied 3 times and is denoted by 2^3.

Question 2. What types of questions can you expect in NCERT solutions class 9 maths chapter 1 ex 1.5?

Answer 2. There are two kinds of questions in chapter 1 ex 1.5 in class 9 math. First, there is a question where we have to solve the problem by using the law of exponents and second, we have to simplify the problem.


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