Exponents and Powers Class 8 Notes given here are a great study tool to boost productivity and improve overall knowledge about the topics covered in chapter 12. In class 8, the concept of exponents, powers and their applications in the real world are explained clearly. This chapter help students to build a strong foundation on the concept of exponents and powers. Solved and example problems are given here for better understanding. Students can use these notes to have a thorough revision of the entire chapter and at the same be well equipped to write the exam.
Exponents and Powers Class 8 Concepts
The topics and subtopics covered in exponents and powers class 8 are:
- Powers with Negative Exponents
- Laws of Exponents
- Use of exponents to express small numbers in standard form
- Comparing very large and very small numbers
The concepts are explained clearly along with the solved examples. Go through the exponents and powers concept to solve the difficult problem.
- An Introduction To Exponents
- A Key To The Laws Of Exponents
- Exponents Formula
- Laws Of Exponents With Integral Power
What Are Exponents?
Exponents are numbers which indicate how many times multiplication has to be done to a number to get the desired result. An exponent is a simple but powerful tool and is basically written above the base number on the right side. Usually, an exponent or power can either be positive or negative.
For example, if we take the number 8 we need to multiply 2 three times as in 8 = 2 x 2 x 2. Here, 2 is the base number and 3 is the exponent.
Powers with Negative Exponents
Negative power is quite similar to the positive power of an exponent. The only difference is that in negative power the value of the expression is the correlative of the value obtained with a positive number. A negative exponent also means how many times to divide by the number.
Example: 8-1 = 1 ÷ 8 = 1/8 = 0.125
Laws of Exponents
In instances where a and b are non-zero integers while m and n are other integers, then
- amxan = am+n
- am / an = am-n
- (am)n = amn
- am×bm = (ab)m
- am / bm = (a / b)m
- a0 = 1
Uses of Exponents
- It is used to express small numbers in standard form
- Case 1: Large numbers can be expressed in standard form with the help of positive exponents
- Likewise, small numbers can be expressed using negative exponents
- Exponents can be used in the comparison of very small and very large numbers.
Exponents and Powers Class 8 Examples
|NCERT Solutions for class 8 Maths Chapter 12|
|NCERT Exemplar for class 8 Maths Chapter 12|
1. Get the multiplicative inverse of the following numbers.
(i) 10-5 (ii) 5-3 (iii) 77-2 (iv) 10-1000
2. Simplify and express it in the exponential form.
(i) (–2)-3 × (–2)-4 (ii) 32 × 3-5 × 36
3.Express 6-3 as a power with the base 3.
4. There is a stack of 6 coins each of thickness 25 mm and 6 paper notes each of thickness 0.020 mm kept in a table. What is the total thickness of the stack?
5. Express the given numbers in the usual form.
(i) 3.52 × 105 (ii) 7.54 × 10-4
Also, read more class 8 concepts:
|Algebraic Identities for Class 8||Geometry Formulas For Class 8|
|Rational Numbers Class 8||Mensuration Class 8|