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Exponents and Powers Class 7 Notes CBSE Maths Chapter 13 (Free PDF Download)

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Last updated date: 09th Apr 2024
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MVSAT 2024

Revision Notes for CBSE Class 7 Maths Chapter 13 Exponents and Power - Free PDF Download

In Class 7 Maths Chapter 13 Exponents and Powers, we'll study the varied rules exponents and conversion of powers into exponent and exponents to powers. Here we'll study about expressing the numbers as a product of powers of their prime factors, writing the numbers using exponential notation, dividing powers with an equivalent base, working with Power of influence, Multiplying Powers with equivalent Exponents, etc. We will also discuss about Dividing Powers with an equivalent Exponents, Numbers with exponent zero, Miscellaneous questions using the laws of exponents,

Download NCERT Solutions PDF and opt to cross-refer post-answering questions to score subject-best marks. You can also download NCERT Solutions for Class 7 Maths and NCERT Solution for Class 7 Science to help you to revise complete syllabus and score more marks in your examinations.

Download CBSE Class 7 Maths Revision Notes 2023-24 PDF

Also, check CBSE Class 7 Maths revision notes for All chapters:


Access Class 7 Mathematics Chapter 13 - Exponents and Powers

1. Exponents:

Exponents are used to convey huge numbers in a more readable, understandable, comparable, and manipulable format.

2. Expressing Large Numbers in the Standard Form:

  • Any number between $1.0$ and $10.0$ (including $1.0$) multiplied by a power of ten can be expressed as a decimal number between $1.0$ and $10.0$(including $1.0$).

  • The standard form of a number is also known as scientific motion.

3. Large numbers are difficult to read, comprehend, compare, and manipulate. 

4. We use exponents to make all of this easier by transforming many of the enormous numbers into a shorter form.

5. What are some examples of exponential forms of numbers?

$100={{10}^{2}}$ (It can be read as $10$ raised to $2$)

$512={{8}^{3}}$

$243={{3}^{5}}$

Here, $\text{10, 8}$ and $3$ are the bases, whereas $\text{2, 3}$ and $5$ are their respective exponents.

We also can say that

$100$ is the ${{\text{2}}^{\text{nd}}}$ power of $\text{10}$ , 

$512$ is the ${{3}^{\text{rd}}}$ power of $8$ , 

$243$ is the ${{5}^{th}}$ power of $\text{3}$ , etc.

6. For any non-zero integers $\text{a}$ and $\text{b}$, and whole numbers $\text{m}$ and $\text{n}$, numbers in exponential form obey the following laws:

a. ${{\text{a}}^{\text{m}}}\text{  }\!\!\times\!\!\text{  }{{\text{a}}^{\text{n}}}\text{ = }{{\text{a}}^{\text{m+n}}}$

b. ${{\text{a}}^{\text{m}}}\text{  }\!\!\div\!\!\text{  }{{\text{a}}^{\text{n}}}\text{ = }{{\text{a}}^{\text{m-n}}}\text{ , m  n}$

c. ${{\left( {{\text{a}}^{\text{m}}} \right)}^{n}}\text{ = }{{\text{a}}^{\text{mn}}}$

d. ${{\text{a}}^{\text{m}}}\text{  }\!\!\times\!\!\text{  }{{\text{b}}^{m}}\text{ = }{{\left( ab \right)}^{\text{m}}}$

e. ${{\text{a}}^{\text{m}}}\text{ }\div \text{ }{{\text{b}}^{m}}\text{ = }{{\left( \dfrac{\text{a}}{b} \right)}^{\text{m}}}$

f. ${{\text{a}}^{0}}\text{ = 1}$

g. (-1)(even number) = 1

h. (-1)(odd number) = -1


Chapter Summary - Exponents and Powers

In "Exponents and Powers," Class 7 students explore the fascinating world of numbers with a special focus on making calculations simpler. Exponents, or small raised numbers, tell us how many times a number is multiplied by itself. For example, 2^3 means multiplying 2 by itself three times. This concept helps in handling large numbers more easily. Powers, on the other hand, are the results of using exponents. By understanding exponents and powers, students gain the superpower to simplify complex mathematical expressions and work with big numbers more conveniently. It's like discovering the secret code to unlock mathematical challenges!


Mnemonics to Easily Remember Chapter 13 - Exponents and Powers

Here are some simple mnemonics to help Class 7 students remember the key concepts of Exponents and Powers:


1. Rule Reminder: "Never Eat Slimy Worms" – Helps remember the order when applying exponents: Numbers, Exponents, Signs, and the final result, or 'Worms' (the solution).


2. Multiply Magic: "Two Elephants Ate Four Apples" – Indicates the process of multiplying the base number (2) by itself four times, corresponding to the exponent.


3. Exponent Expression: "Eshwar’s Power Escalates" – A fun way to remember that exponents show how a number's power increases.


4. Powers of 10: "Kangaroos Hopped Down Mountains Carrying Elephants" – A playful way to remember the increasing powers of 10.


5. Product Power: "My Elephant Jumped Over Three Walls" – Helps recall that exponent 3 means multiplying the base number (My Elephant) three times.


6. Squaring Shortcut: "Alia’s Cat Squared Its Tail" – A whimsical way to remember that squaring a number involves multiplying it by itself.


7. Cubing Clue: "Bheem Cubed Ice Perfectly" – Indicates that cubing involves multiplying a number by itself twice.


These mnemonics add a touch of creativity to make learning "Exponents and Powers" enjoyable and memorable for Class 7 students.


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These benefits make Vedantu’s Revision Notes your ultimate study companion even for Class 7 Maths Chapter 13 - Exponents and Powers.


Conclusion

For an enhanced comprehension of this subject, NCERT - Class 7 Maths Chapter 13 - Exponents and Powers, thoughtfully prepared by experienced educators at Vedantu, is your invaluable companion. These notes break down the complexities of Exponents and Powers into easily digestible sections, helping you grasp new concepts, master formulas, and navigate through questions effortlessly and quickly at the last minute as well. By immersing yourself in these notes, you not only prepare for your studies more efficiently but also develop a profound understanding of the subject matter.

FAQs on Exponents and Powers Class 7 Notes CBSE Maths Chapter 13 (Free PDF Download)

1. What is standard form?

Any number is often expressed as a decimal number between 1.0 and 10.0 including 1.0 multiplied by an influence of 10. Such a sort of variety is named its standard form.

2. How are powers and exponents different?

We often call exponents powers or indices. In other words, power directs to an expression that represents repeated multiplication of the same number whereas exponent is a quantity that represents the power to which we raise the number. Normally, we use both these terms in an interchangeable way in mathematical operations.

3. Why should students refer to Vedantu Revision Notes?

Here are the benefits of Vedantu Revision notes :

  1. All the related diagrams and other reference illustrations are also provided.

  2. Studying from Vedantu class 7 maths revision notes chapter 13 on basic Exponent and Power will help you write the exam with full confidence.

  3. The Vedantu class 7 maths revision notes chapter 13 will make you confident and you will feel well acquainted with it.

  4. You can easily revise any topic, again and again, that too at any time and anywhere.

4. Where can I find the latest Chapter 13 Exponents and Powers of Class 7 notes?

Vedantu’s website is an incredible source to obtain study material for Chapter 13 “Exponents and Powers”. You can find the notes for “Exponents and Powers” on Vedantu’s official site or by downloading their learning app. Vedantu also has a user-friendly interface where you can find the revision notes, NCERT solutions, extra questions for practice related to “Exponents and Powers”. You can also find notes for “Exponents and Powers” in Maths solution books such as U-Like and exam ideas.

5. Can I download the Notes for Chapter 13 Exponents and Powers of Class 7 in PDF?

Notes for Chapter 13 Exponents and Powers of Class 7 are available on Vedantu’s official website. Vedantu provides you the facility to download the notes for free from the comfort of your home. All students have free access to these revision notes. Revision notes provided by Vedantu adhere to the guidelines provided by CBSE for the current session. You can also download mock test papers and determine your weak and strong areas.

6. How many questions are there to practice in Chapter 13 Exponents and Powers of Class 7?

Exponents and powers are some of the most important chapters in mathematics under the branch of algebra. Chapter 13 “Exponents and Powers” consist of three exercises that brief students about the fundamental concepts of exponents and powers. The total number of questions to practice in the prescribed book is 17. Exercise 13.1 consists of eight questions with sub-questions, Exercise 13.2 consists of five questions with sub-division and Exercise 13.3 consists of four questions with subdivisions.

7. Is it necessary to practice examples for Chapter 13 Exponents and Powers of Class 7?

“Exponents and Powers” is an important chapter from the examination point of view. The weightage of Chapter 13 is high which clearly states many questions will be asked from this chapter. To secure good marks you need to practice all the examples mentioned in the prescribed textbook. Often, examples are asked in question papers to test whether students have studied the book thoroughly. Examples also tend to cover all possible questions and exception case questions and prepare you for any question exam.

8. What do you mean by exponents as explained in Chapter 13 of Maths in Class 7?

Exponents are an expression to write a large number in a short and sophisticated manner which makes them easy to read, understand, compare and work upon. For example, it is difficult to read 10,00,000 in this form but with the help of exponents, we can write it as 10^6 and it is read as 10 raised to the power of six. With exponents, it is easy to read and understand the long numerical.