Class 7 Exam > Class 7 Notes > Mathematics (Maths) Class 7 > RS Aggarwal Solutions: Exponents
RS Aggarwal Solutions: Exponents | Mathematics (Maths) Class 7 PDF Download
| Download, print and study this document offline |
Please wait while the PDF view is loading
Page 1
Question:1
Write each of the following in power notation:
i
5
7
×
5
7
×
5
7
×
5
7
ii
-4
3
×
-4
3
×
-4
3
×
-4
3
×
-4
3
iii
-1
6
×
-1
6
×
-1
6
iv
-8
× -8
× -8
× -8
× -8
Solution:
i
5
7
×
5
7
×
5
7
×
5
7
=
5
7
4
ii
-4
3
×
-4
3
×
-4
3
×
-4
3
×
-4
3
=
-4
3
5
iii
-1
6
×
-1
6
×
-1
6
=
-1
6
3
iv
(-8)×(-8)×(-8)×(-8)×(-8) = (-8)
5
Question:2
Express each of the following in power notation:
i
25
36
ii
-27
64
iii
( ) ( ) ( ) ( ) ( )
( ) ( ) ( )
( )
( ) ( ) ( ) ( ) ( ) ( )
( ) ( ) ( ) ( )
Page 2
Question:1
Write each of the following in power notation:
i
5
7
×
5
7
×
5
7
×
5
7
ii
-4
3
×
-4
3
×
-4
3
×
-4
3
×
-4
3
iii
-1
6
×
-1
6
×
-1
6
iv
-8
× -8
× -8
× -8
× -8
Solution:
i
5
7
×
5
7
×
5
7
×
5
7
=
5
7
4
ii
-4
3
×
-4
3
×
-4
3
×
-4
3
×
-4
3
=
-4
3
5
iii
-1
6
×
-1
6
×
-1
6
=
-1
6
3
iv
(-8)×(-8)×(-8)×(-8)×(-8) = (-8)
5
Question:2
Express each of the following in power notation:
i
25
36
ii
-27
64
iii
( ) ( ) ( ) ( ) ( )
( ) ( ) ( )
( )
( ) ( ) ( ) ( ) ( ) ( )
( ) ( ) ( ) ( )
-32
243
iv
-1
128
Solution:
i
25
36
=
5
2
6
2
[since 25 = 5
2
and 36 = 6
2
]
=
5
6
2
ii
-27
64
=
(-3)
3
4
3
[since -27 = (-3)
3
and 64 = 4
3
]
=
-3
4
3
iii
-32
243
=
(-2)
5
3
5
[since -32 = (-2)
5
and 243 = 3
5
]
=
-2
3
5
iv
-1
128
=
(-1)
7
2
7
[since (-1)
7
= -1 and 128 = 2
7
]
=
-1
2
7
Question:3
Express each of the following as a rational number:
i
2
3
5
ii
-8
5
3
iii
-13
11
2
iv
( )
( )
( )
( )
( )
( )
( )
( )
Page 3
Question:1
Write each of the following in power notation:
i
5
7
×
5
7
×
5
7
×
5
7
ii
-4
3
×
-4
3
×
-4
3
×
-4
3
×
-4
3
iii
-1
6
×
-1
6
×
-1
6
iv
-8
× -8
× -8
× -8
× -8
Solution:
i
5
7
×
5
7
×
5
7
×
5
7
=
5
7
4
ii
-4
3
×
-4
3
×
-4
3
×
-4
3
×
-4
3
=
-4
3
5
iii
-1
6
×
-1
6
×
-1
6
=
-1
6
3
iv
(-8)×(-8)×(-8)×(-8)×(-8) = (-8)
5
Question:2
Express each of the following in power notation:
i
25
36
ii
-27
64
iii
( ) ( ) ( ) ( ) ( )
( ) ( ) ( )
( )
( ) ( ) ( ) ( ) ( ) ( )
( ) ( ) ( ) ( )
-32
243
iv
-1
128
Solution:
i
25
36
=
5
2
6
2
[since 25 = 5
2
and 36 = 6
2
]
=
5
6
2
ii
-27
64
=
(-3)
3
4
3
[since -27 = (-3)
3
and 64 = 4
3
]
=
-3
4
3
iii
-32
243
=
(-2)
5
3
5
[since -32 = (-2)
5
and 243 = 3
5
]
=
-2
3
5
iv
-1
128
=
(-1)
7
2
7
[since (-1)
7
= -1 and 128 = 2
7
]
=
-1
2
7
Question:3
Express each of the following as a rational number:
i
2
3
5
ii
-8
5
3
iii
-13
11
2
iv
( )
( )
( )
( )
( )
( )
( )
( )
1
6
3
v
-1
2
5
vi
-3
2
4
vii
-4
7
3
viii
-1
9
Solution:
i
2
3
5
=
(2)
5
(3)
5
=
2×2×2×2×2
3×3×3×3×3
=
32
243
ii
-8
5
3
=
(-8)
3
(5)
3
=
(-8)×(-8)×(-8)
5×5×5
=
-512
125
iii
-13
11
2
=
(-13)
2
(11)
2
=
(-13)×(-13)
11×11
=
169
121
iv
1
6
3
=
(1)
3
(6)
3
=
1×1×1
6×6×6
=
1
216
v
-1
2
5
=
(-1)
5
(2)
5
=
(-1)×(-1)×(-1)×(-1)×(-1)
2×2×2×2×2
=
-1
32
vi
-3
2
4
=
(-3)
4
(2)
4
=
(-3)×(-3)×(-3)×(-3)
2×2×2×2
=
81
16
vii
-4
7
3
=
(-4)
3
(7)
3
=
(-4)×(-4)×(-4)
7×7×7
=
-64
343
( )
( )
( )
( )
( )
( )
( )
( )
( )
( )
( )
Page 4
Question:1
Write each of the following in power notation:
i
5
7
×
5
7
×
5
7
×
5
7
ii
-4
3
×
-4
3
×
-4
3
×
-4
3
×
-4
3
iii
-1
6
×
-1
6
×
-1
6
iv
-8
× -8
× -8
× -8
× -8
Solution:
i
5
7
×
5
7
×
5
7
×
5
7
=
5
7
4
ii
-4
3
×
-4
3
×
-4
3
×
-4
3
×
-4
3
=
-4
3
5
iii
-1
6
×
-1
6
×
-1
6
=
-1
6
3
iv
(-8)×(-8)×(-8)×(-8)×(-8) = (-8)
5
Question:2
Express each of the following in power notation:
i
25
36
ii
-27
64
iii
( ) ( ) ( ) ( ) ( )
( ) ( ) ( )
( )
( ) ( ) ( ) ( ) ( ) ( )
( ) ( ) ( ) ( )
-32
243
iv
-1
128
Solution:
i
25
36
=
5
2
6
2
[since 25 = 5
2
and 36 = 6
2
]
=
5
6
2
ii
-27
64
=
(-3)
3
4
3
[since -27 = (-3)
3
and 64 = 4
3
]
=
-3
4
3
iii
-32
243
=
(-2)
5
3
5
[since -32 = (-2)
5
and 243 = 3
5
]
=
-2
3
5
iv
-1
128
=
(-1)
7
2
7
[since (-1)
7
= -1 and 128 = 2
7
]
=
-1
2
7
Question:3
Express each of the following as a rational number:
i
2
3
5
ii
-8
5
3
iii
-13
11
2
iv
( )
( )
( )
( )
( )
( )
( )
( )
1
6
3
v
-1
2
5
vi
-3
2
4
vii
-4
7
3
viii
-1
9
Solution:
i
2
3
5
=
(2)
5
(3)
5
=
2×2×2×2×2
3×3×3×3×3
=
32
243
ii
-8
5
3
=
(-8)
3
(5)
3
=
(-8)×(-8)×(-8)
5×5×5
=
-512
125
iii
-13
11
2
=
(-13)
2
(11)
2
=
(-13)×(-13)
11×11
=
169
121
iv
1
6
3
=
(1)
3
(6)
3
=
1×1×1
6×6×6
=
1
216
v
-1
2
5
=
(-1)
5
(2)
5
=
(-1)×(-1)×(-1)×(-1)×(-1)
2×2×2×2×2
=
-1
32
vi
-3
2
4
=
(-3)
4
(2)
4
=
(-3)×(-3)×(-3)×(-3)
2×2×2×2
=
81
16
vii
-4
7
3
=
(-4)
3
(7)
3
=
(-4)×(-4)×(-4)
7×7×7
=
-64
343
( )
( )
( )
( )
( )
( )
( )
( )
( )
( )
( )
viii
(-1)
9
= -1
[Since (-1)
an odd natural number
= -1]
Question:4
Express each of the following as a rational number:
i
4
-1
ii
-6
-1
iii
1
3
-1
iv
-2
3
-1
Solution:
i
(4)
-1
=
4
1
-1
=
1
4
1
=
1
4
[since
a
b
-n
=
b
a
n
]
ii
(-6)
-1
=
-6
1
-1
=
1
-6
1
=
-1
6
[since
a
b
-n
=
b
a
n
]
iii
1
3
-1
=
3
1
1
=
3
1
[since
a
b
-n
=
b
a
n
]
iv
-2
3
-1
=
3
-2
1
=
-3
2
[since
a
b
-n
=
b
a
n
]
( )
( )
( ) ( )
( ) ( )
( ) ( )
( ) ( )
( ) ( )
( ) ( )
( ) ( )
( ) ( )
Page 5
Question:1
Write each of the following in power notation:
i
5
7
×
5
7
×
5
7
×
5
7
ii
-4
3
×
-4
3
×
-4
3
×
-4
3
×
-4
3
iii
-1
6
×
-1
6
×
-1
6
iv
-8
× -8
× -8
× -8
× -8
Solution:
i
5
7
×
5
7
×
5
7
×
5
7
=
5
7
4
ii
-4
3
×
-4
3
×
-4
3
×
-4
3
×
-4
3
=
-4
3
5
iii
-1
6
×
-1
6
×
-1
6
=
-1
6
3
iv
(-8)×(-8)×(-8)×(-8)×(-8) = (-8)
5
Question:2
Express each of the following in power notation:
i
25
36
ii
-27
64
iii
( ) ( ) ( ) ( ) ( )
( ) ( ) ( )
( )
( ) ( ) ( ) ( ) ( ) ( )
( ) ( ) ( ) ( )
-32
243
iv
-1
128
Solution:
i
25
36
=
5
2
6
2
[since 25 = 5
2
and 36 = 6
2
]
=
5
6
2
ii
-27
64
=
(-3)
3
4
3
[since -27 = (-3)
3
and 64 = 4
3
]
=
-3
4
3
iii
-32
243
=
(-2)
5
3
5
[since -32 = (-2)
5
and 243 = 3
5
]
=
-2
3
5
iv
-1
128
=
(-1)
7
2
7
[since (-1)
7
= -1 and 128 = 2
7
]
=
-1
2
7
Question:3
Express each of the following as a rational number:
i
2
3
5
ii
-8
5
3
iii
-13
11
2
iv
( )
( )
( )
( )
( )
( )
( )
( )
1
6
3
v
-1
2
5
vi
-3
2
4
vii
-4
7
3
viii
-1
9
Solution:
i
2
3
5
=
(2)
5
(3)
5
=
2×2×2×2×2
3×3×3×3×3
=
32
243
ii
-8
5
3
=
(-8)
3
(5)
3
=
(-8)×(-8)×(-8)
5×5×5
=
-512
125
iii
-13
11
2
=
(-13)
2
(11)
2
=
(-13)×(-13)
11×11
=
169
121
iv
1
6
3
=
(1)
3
(6)
3
=
1×1×1
6×6×6
=
1
216
v
-1
2
5
=
(-1)
5
(2)
5
=
(-1)×(-1)×(-1)×(-1)×(-1)
2×2×2×2×2
=
-1
32
vi
-3
2
4
=
(-3)
4
(2)
4
=
(-3)×(-3)×(-3)×(-3)
2×2×2×2
=
81
16
vii
-4
7
3
=
(-4)
3
(7)
3
=
(-4)×(-4)×(-4)
7×7×7
=
-64
343
( )
( )
( )
( )
( )
( )
( )
( )
( )
( )
( )
viii
(-1)
9
= -1
[Since (-1)
an odd natural number
= -1]
Question:4
Express each of the following as a rational number:
i
4
-1
ii
-6
-1
iii
1
3
-1
iv
-2
3
-1
Solution:
i
(4)
-1
=
4
1
-1
=
1
4
1
=
1
4
[since
a
b
-n
=
b
a
n
]
ii
(-6)
-1
=
-6
1
-1
=
1
-6
1
=
-1
6
[since
a
b
-n
=
b
a
n
]
iii
1
3
-1
=
3
1
1
=
3
1
[since
a
b
-n
=
b
a
n
]
iv
-2
3
-1
=
3
-2
1
=
-3
2
[since
a
b
-n
=
b
a
n
]
( )
( )
( ) ( )
( ) ( )
( ) ( )
( ) ( )
( ) ( )
( ) ( )
( ) ( )
( ) ( )
Question:5
Find the reciprocal of each of the following:
i
3
8
4
ii
-5
6
11
iii
6
7
iv
-4
3
Solution:
We know that the reciprocal of
a
b
m
is
b
a
m
.
i
Reciprocal of
3
8
4
=
8
3
4
ii
Reciprocal of
-5
6
11
=
-6
5
11
iii
Reciprocal of 6
7
= Reciprocal of
6
1
7
=
1
6
7
iv
Reciprocal of -4
3
= Reciprocal of
-4
1
3
=
-1
4
3
Question:6
Find the value of each of the following:
i
( )
( )
( )
( )
( ) ( )
( ) ( )
( )
( )
( )
( )
Read More
|
76 videos|344 docs|39 tests
|
FAQs on RS Aggarwal Solutions: Exponents - Mathematics (Maths) Class 7
| 1. What are exponents in mathematics? |  |
Ans. Exponents are a mathematical notation used to represent repeated multiplication of a number by itself. It consists of a base number raised to a power or exponent. For example, in the expression 2^3, 2 is the base number and 3 is the exponent. It means 2 multiplied by itself three times, which is equal to 2 x 2 x 2 = 8.
| 2. How do you read exponents? | |
Ans. Exponents are read in different ways. For example, 2^3 can be read as "2 raised to the power of 3" or "2 to the third power". Similarly, 5^2 can be read as "5 squared" or "5 raised to the power of 2". The notation and reading may vary, but the concept remains the same.
| 3. What are the rules of exponents? | |
Ans. There are several rules of exponents that help simplify and manipulate expressions involving exponents. Some of the common rules include:
- Product Rule: When multiplying two numbers with the same base, add their exponents.
- Quotient Rule: When dividing two numbers with the same base, subtract their exponents.
- Power Rule: When raising a number with an exponent to another exponent, multiply the exponents.
- Zero Rule: Any number (except zero) raised to the power of 0 is equal to 1.
- Negative Exponent Rule: A number raised to a negative exponent is equal to its reciprocal raised to the positive exponent.
| 4. How are exponents used in real-life situations? | |
Ans. Exponents are used in various real-life situations such as finance, science, and engineering. For example, compound interest calculations involve exponential growth or decay. In physics, the concept of exponential decay is used to model radioactive decay. Exponents also play a crucial role in computer science and data analysis, where large or small numbers are represented using scientific notation.
| 5. How can I solve problems involving exponents? | |
Ans. To solve problems involving exponents, it is important to understand the basic rules and properties of exponents. Start by simplifying the expressions using these rules. If necessary, convert numbers to scientific notation for easier calculations. Practice solving different types of problems, such as finding the value of an expression, simplifying expressions, or solving equations with exponents. Regular practice and familiarity with the rules will help improve problem-solving skills in this area.
Related Exams
About this Document
|
4.62/5 Rating |
|
Dec 22, 2024 Last updated |
Document Description: RS Aggarwal Solutions: Exponents for Class 7 2024 is part of Mathematics (Maths) Class 7 preparation.
The notes and questions for RS Aggarwal Solutions: Exponents have been prepared according to the Class 7 exam syllabus. Information about RS Aggarwal Solutions: Exponents covers topics
like and RS Aggarwal Solutions: Exponents Example, for Class 7 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for RS Aggarwal Solutions: Exponents.
Introduction of RS Aggarwal Solutions: Exponents in English is available as part of our Mathematics (Maths) Class 7
for Class 7 & RS Aggarwal Solutions: Exponents in Hindi for Mathematics (Maths) Class 7 course.
Download more important topics related with notes, lectures and mock test series for Class 7
Exam by signing up for free. Class 7: RS Aggarwal Solutions: Exponents | Mathematics (Maths) Class 7
Description
Full syllabus notes, lecture & questions for RS Aggarwal Solutions: Exponents | Mathematics (Maths) Class 7 - Class 7 | Plus excerises question with solution to help you revise complete syllabus for Mathematics (Maths) Class 7 | Best notes, free PDF download
Information about RS Aggarwal Solutions: Exponents
In this doc you can find the meaning of RS Aggarwal Solutions: Exponents defined & explained in the simplest way possible. Besides explaining types of
RS Aggarwal Solutions: Exponents theory, EduRev gives you an ample number of questions to practice RS Aggarwal Solutions: Exponents tests, examples and also practice Class 7
tests
|
Explore Courses for Class 7 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
shortcuts and tricks
,Sample Paper
,Objective type Questions
,Free
,Viva Questions
,practice quizzes
,Exam
,ppt
,Previous Year Questions with Solutions
,RS Aggarwal Solutions: Exponents | Mathematics (Maths) Class 7
,RS Aggarwal Solutions: Exponents | Mathematics (Maths) Class 7
,Important questions
,study material
,RS Aggarwal Solutions: Exponents | Mathematics (Maths) Class 7
,Semester Notes
,video lectures
,Summary
,mock tests for examination
,past year papers
,Extra Questions
,MCQs
;
Additional Information about RS Aggarwal Solutions: Exponents for Class 7 Preparation
RS Aggarwal Solutions: Exponents Free PDF Download
The RS Aggarwal Solutions: Exponents is an invaluable resource that delves deep into the core of the Class 7 exam.
These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective.
With the help of these notes, you can grasp complex subjects quickly, revise important points easily,
and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner,
allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material,
or toppers' notes, this PDF has got you covered. Download the RS Aggarwal Solutions: Exponents now and kickstart your journey towards success in the Class 7 exam.
Importance of RS Aggarwal Solutions: Exponents
The importance of RS Aggarwal Solutions: Exponents cannot be overstated, especially for Class 7 aspirants.
This document holds the key to success in the Class 7 exam.
It offers a detailed understanding of the concept, providing invaluable insights into the topic.
By knowing the concepts well in advance, students can plan their preparation effectively.
Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.
RS Aggarwal Solutions: Exponents Notes
RS Aggarwal Solutions: Exponents Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to RS Aggarwal Solutions: Exponents.
It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation.
Practice papers and question papers enable you to assess your progress effectively.
Additionally, the paper analysis provides valuable tips for tackling the exam strategically.
Access to Toppers' notes gives you an edge in understanding complex concepts.
Whether you're a beginner or aiming for advanced proficiency, RS Aggarwal Solutions: Exponents Notes on EduRev are your ultimate resource for success.
RS Aggarwal Solutions: Exponents Class 7 Questions
The "RS Aggarwal Solutions: Exponents Class 7 Questions" guide is a valuable resource for all aspiring students preparing for the
Class 7 exam. It focuses on providing a wide range of practice questions to help students gauge
their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation.
The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level.
Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.
Study RS Aggarwal Solutions: Exponents on the App
Students of Class 7 can study RS Aggarwal Solutions: Exponents alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the RS Aggarwal Solutions: Exponents,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of RS Aggarwal Solutions: Exponents is prepared as per the latest Class 7 syllabus.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup