# NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers

NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers: Exponents can be used to represents very large numbers and small numbers as the power of a base number. For example, the magnitude speed of light in a vacuum is approximately 300,000,000 = $3\times10^8$,  0.000000001=10-9 .Another example is 1024=210. First, two examples are expressed as a power of 10 (where 10 is the base) and the third example is expressed as a power of 2 (where 2 is the base). The NCERT Solutions for Class 7 Maths Chapter 13 talks about exponents and laws of exponents. This chapter is a basic chapter for Maths and Science in the higher class. So familiarising with NCERT Solutions for Class 7 Maths is mandatory.

One of the important topics of NCERT Solutions of this chapter is Laws Of Exponents, which are listed below

$\\1.\ a^m\times a^n=a^{m+n}\\2.\ \frac{a^m}{a^n}=a^{m-n}\\ 3. \ (a^m)^n=a^{mn}$

Here the important things to be noted is the base must be the same. In the above 3 laws base is a.

Note: Any number (except zero) raised to the power zero is 1. That is 20=1, 24560=1

Let's see an example of using these laws: Simplify $\frac{(2^3)^4\times8}{2^{10}\times32}$

Solution:

$\\Here\ 8=2\times2\times2=2^3\\32=2\times2\times2\times2\times2=2^5$

Now the question becomes

$\frac{(2^3)^4\times2^8}{2^{10}\times2^5}$

Now applying the three laws mentioned above

$\frac{(2^3)^4\times2^8}{2^{10}\times2^5}=\frac{(2)^{12}\times2^3}{2^{10}\times2^5}=\frac{(2)^{15}}{2^{15}}=2^{15-15}=2^0=1$

The main topics of NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers are:

13.1 Introduction

13.2 Exponents

13.3 Laws Of Exponents

13.3.1 Multiplying Powers With The Same Base

13.3.2 Dividing Powers With The Same Base

13.3.3 Taking Power Of A Power

13.3.4 Multiplying Powers With The Same Exponents

13.3.5 Dividing Powers With The Same Exponents

13.4 Miscellaneous Examples Using The Laws Of Exponents

13.5 Decimal Number System

13.6 Expressing Large Numbers In The Standard Form

## NCERT Solutions for Class 7 Maths - Chapter-wise

 Chapter No. Chapter Name Chapter 1 Integers Chapter 2 Fractions and Decimals Chapter 3 Data Handling Chapter 4 Simple Equations Chapter 5 Lines and Angles Chapter 6 The Triangle and its Properties Chapter 7 Congruence of Triangles Chapter 8 Comparing Quantities Chapter 9 Rational Numbers Chapter 10 Practical Geometry Chapter 11 Perimeter and Area Chapter 12 Algebraic Expressions Chapter 14 Symmetry Chapter 15 Visualising Solid Shapes