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Class 8 Revision Notes CBSE Maths Chapter 12 Exponents and Powers (Free PDF Download)

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Last updated date: 23rd Apr 2024
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Revision Notes for CBSE Class 8 Maths Chapter 12 - Exponents and Powers Free PDF Download

Free PDF download of Class 8 Maths Chapter 12 - Exponents and Powers Revision Notes & Short Key-notes prepared by expert Maths teachers from the latest edition of CBSE(NCERT) books. To register Maths Tuitions on Vedantu.com to clear your doubts.


Every NCERT Solution is provided to make the study simple and interesting. Subjects like Science, Maths, English will become easy to study if you have access to NCERT Solution for Class 8 Science, Maths solutions and solutions of other subjects. You can also download NCERT Solutions for Class 8 Maths to help you to revise complete syllabus and score more marks in your examinations.


Important Topics Covered in CBSE Class 8 Maths Chapter 12

The Chapter 12 Exponents and Powers of Class 8 Maths is quite an important one as it creates a base for complex calculations required in higher classes. Also, from the exam point of view, the following topics are more likely to be important.

  • Powers with Negative Exponents

  • Laws of Exponents


am × an = am + n

am ÷ an = am - n

(am)n = amn

am × bm = (ab)m

a0 = 1

am/bm = (a/b)m

  • Use of Exponents to Express Small Numbers in Standard Form

  •  Comparing Very Large and Very Small Numbers


Download CBSE Class 8 Maths Revision Notes 2024-25 PDF

Also, check CBSE Class 8 Maths revision notes for All chapters:


Access Class 8 Math Chapter – 12 - Exponents and Powers Notes in 30 Minutes

The following exponent laws apply to numbers with exponents.

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

  2. ${{\text{a}}^{\text{m}}}\text{ }\div \text{ }{{\text{a}}^{\text{n }}}\text{= }{{\text{a}}^{\text{m-n}}}$

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

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

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

  6. $\frac{{{\text{a}}^{\text{m}}}}{{{\text{b}}^{\text{m}}}}\text{ = }{{\left( \frac{\text{a}}{\text{b}} \right)}^{\text{m}}}$

  • Negative exponents can be used to express very tiny values in standard form. Exponents are used to express small numbers in standard form as follows:

  • Standard form can be used to express both very big and very small numbers.

  • Scientific notation form is another name for standard form.

  • If m is a decimal number, where $\text{1 }\le \text{ m  10}$ and n is either a positive or negative integer, then a number represented as $\text{m }\times \text{ 1}{{\text{0}}^{\text{n}}}$ is said to be in standard form, \[150,000,000,000\text{ }=\text{ }1.5\text{ }\times \text{ }{{10}^{11}}\], for example.

  • The use of exponential notation to indicate repeated multiplication of the same number is very useful. The product \[\text{a  }\!\!\times\!\!\text{  a  }\!\!\times\!\!\text{  a  }\!\!\times\!\!\text{  a  }\!\!\times\!\!\text{  a}...\text{  }\!\!\times\!\!\text{  a (n times) = }{{\text{a}}^{\text{n}}}\], for any non-zero rational integer ‘a' and a natural number n.

  • It is written as ‘a' raised to the power ‘n' and is referred to as the nth power of ‘a.' The base is the rational number a, and the exponent is the rational number n.


Key Features of CBSE Class 8 Maths Revision Notes for Chapter 12 Exponents and Powers 

Read the given-below key features of our expert-curated revision notes for Maths Chapter 12 to know why you should refer to them during your preparation.

  • Vedantu’s revision notes on Class 8 Maths Chapter 12 are easy to understand and specifically prepared to help you revise the chapter before your exam. 

  • By referring to our detailed Maths revision notes, students will be able to understand and remember all the concepts related to exponents and powers better.

  • The team of expert teachers has prepared these revision notes, ensuring that the notes are accurate and free of any calculation errors.

  • The notes are comprehensive and cover all the topics and subtopics of the chapter, as per the updated CBSE syllabus and exam guidelines.

  • The CBSE Revision Notes for Class 8 Maths Chapter 12 - Exponents and Powers are available for free download in PDF format. Thus, students can access them without spending any money.


Conclusion

These notes are like a super helpful tool for Class 8 students studying math. They're perfect if you want to do better on your exams or need a quick and clear way to review the chapter on Exponents and Powers. These notes cover everything in the chapter and explain it in an easy-to-understand way. Plus, they were made by experts, so they're accurate and trustworthy. We strongly suggest that all Class 8 students use these notes when getting ready for their CBSE Math exams. With these notes, you'll really understand the subject and be able to handle any problems that come from this chapter with confidence. The convenience of downloading these revision notes to your smart devices empowers you to study at your own pace, making learning more flexible and accessible.

FAQs on Class 8 Revision Notes CBSE Maths Chapter 12 Exponents and Powers (Free PDF Download)

1. What are power and exponent in Mathematics?

The power of any number is defined as the number of times that number must be multiplied by itself to get a certain result. It is written in the form of an, where ‘a’ is the number to be multiplied and ‘n’ is the number of times it should be multiplied. Technically, here ‘a’ is called the base, and ‘n’ is called the exponent.

2. What is the standard form of a number?

A number is said to be in the standard form in Maths if it is raised to an integral power of 10 and expressed in the decimal form. For example, 1,546,000,000,000 = 1.546 × 1013