# NCERT Solutions for Class 8 Maths Chapter 12 - Exponents and Powers

## NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers

It is difficult to represent big numbers like Mass of earth is 5,970,000,000,000,000,000,000, 000 kg. In this lesson, we will learn about exponents and powers and also how to use them to make the representation of bigger numbers easier. The NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers are prepared and explained by the experts for the students to better understand the chapter.

Exponents and powers may be a new concept for you. So, you might be wondering what could exponents. So before going to start NCERT Chapter 12 Exponents and Powers, let’s look at a scenario from our daily life. If I ask you for some distances like -

 Questions Assume it’s your answer Distance between your home and school 15 KM Distance between Bangalore and Delhi 1500 KM Distance between India and South America 15000 KM Distance between Earth and the Sun 150000000 KM

Now what is happening in all of the above questions we see that for smaller distances indicating them or representing them with numbers like 15 or 1500 or even 15000 is decent enough but when we talk about very big number like 150000000 KM it is difficult to understand and also it becomes so confusing that how many zeros are there.  As the numbers become bigger their representation becomes more complex or tough to understand, read and operate.

The exponent of a number, describe that for how many times a number(base)  will be multiplied. The base is the number which is going to be multiplied. In NCERT Class 8 Maths Chapter 12 Exponents and Powers 2 exercises with 11 questions. To understand the exponent of a number.

Take an example- $6^3$, where 6 is the base and 3 is the power. Multiplying three sixes together gives 6*6*6 = 216.

Let's solve an examples of NCERT Solutions for Class 8 Maths Chapter 12 Exponents and Powers

1. simplify $\frac{2^{10}}{32}$

solution: 32 can be written as multiple of 2, that is

$32=2^1\times 2^1\times2^1\times2^1\times2^1$

Using $a^a\times a^b\times a^c........a^n=a^{a+b+c+.....n}$

32 can be written as  $2^1\times 2^1\times2^1\times2^1\times2^1=2^{1+1+1+1+1}=2^5$

therefor

$\frac{2^{10}}{32}=\frac{2^{10}}{2^5}$

Now using the property of division of exponential

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

$\frac{2^{10}}{32}=\frac{2^{10}}{2^5}=2^{10-5}=2^5=32$

## Topics of NCERT Class 8 Maths Chapter 12 Exponents and Powers-

• 12.1 Introduction
• 12.2 Powers with Negative Exponents
• 12.3 Laws of Exponents
• 12.4  Use of Exponents to Express Small Numbers in Standard Form
• 12.5 Comparing very large and very small numbers

## NCERT Solutions For Class 8 Maths: Chapter-wise

 Chapter -1 Chapter -2 Linear Equations in One Variable Chapter-3 Understanding Quadrilaterals Chapter-4 Practical Geometry Chapter-5 Data Handling Chapter-6 Squares and Square Roots Chapter-7 Cubes and Cube Roots Chapter-8 Comparing Quantities Chapter-9 Algebraic Expressions and Identities Chapter-10 Visualizing Solid Shapes Chapter-11 Mensuration Chapter-13 Direct and Inverse Proportions Chapter-14 Factorization Chapter-15 Introduction to Graphs Chapter-16 Playing with Numbers