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![NCERT solutions for Mathematics [English] Class 7 chapter 11 - Exponents and Powers - Shaalaa.com](/images/mathematics-english-class-7_6:c3cebe068a194d94b26c11e5078e5928.jpg "NCERT solutions for Mathematics [English] Class 7 chapter 11 - Exponents and Powers")
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Solutions for Chapter 11: Exponents and Powers
Below listed, you can find solutions for Chapter 11 of CBSE NCERT for Mathematics [English] Class 7.
NCERT solutions for Mathematics [English] Class 7 11 Exponents and Powers EXERCISE 11.1 [Pages 173 - 174]
Find the value of 26.
Find the value of 93.
Find the value of 112.
Find the value of 54.
Express the following in exponential form:
6 × 6 × 6 × 6
Express the following in exponential form:
t × t
Express the following in exponential form:
b × b × b × b
Express the following in exponential form:
5 × 5 × 7 × 7 × 7
Express the following in exponential form:
2 × 2 × a × a
Express the following in exponential form:
a × a × a × c × c × c × c × d
Express the following number using exponential notation:
512
Express the following number using exponential notation:
343
Express the following number using exponential notation:
729
Express the following number using exponential notation:
3125
Identify the greater number, wherever possible, in the following?
43 or 34
Identify the greater number, wherever possible, in the following?
53 or 35
Identify the greater number, wherever possible, in the following?
28 or 82
Identify the greater number, wherever possible, in the following?
1002 or 2100
Identify the greater number, wherever possible, in the following?
210 or 102
Express the following as product of powers of its prime factor:
648
Express the following as product of powers of its prime factor:
405
Express the following as product of powers of its prime factor:
540
Express the following as product of powers of its prime factor:
3,600
Simplify:
2 × 103
Simplify:
72 × 22
Simplify:
23 × 5
Simplify:
3 × 44
Simplify:
0 × 102
Simplify:
52 × 33
Simplify:
24 × 32
Simplify:
32 × 104
Simplify:
(−4)3
Simplify:
(-3) × (-2)3
Simplify:
(-3)2 × (-5)2
Simplify:
(−2)3 × (−10)3
Compare the following numbers:
2.7 × 1012; 1.5 × 108
Compare the following numbers:
4 × 1014; 3 × 1017
NCERT solutions for Mathematics [English] Class 7 11 Exponents and Powers EXERCISE 11.2 [Pages 181 - 182]
Using laws of exponents, simplify and write the answer in exponential form:
32 × 34 × 38
Using laws of exponents, simplify and write the answer in exponential form:
615 ÷ 610
Using laws of exponents, simplify and write the answer in exponential form:
a3 × a2
Using laws of exponents, simplify and write the answer in exponential form:
7x × 72
Using laws of exponents, simplify and write the answer in exponential form:
`(5^2)^3 ÷ 5^3`
Using laws of exponents, simplify and write the answer in exponential form:
25 × 55
Using laws of exponents, simplify and write the answer in exponential form:
a4 × b4
Using laws of exponents, simplify and write the answer in exponential form:
(34)3
Using laws of exponents, simplify and write the answer in exponential form:
`(2^20 ÷ 2^15) xx 2^3`
Using laws of exponents, simplify and write the answer in exponential form:
8t ÷ 82
Simplify and express the following in exponential form:
`(2^3 xx 3^4 xx 4)/(3 xx 32)`
Simplify and express the following in exponential form:
((52)3 × 54) ÷ 57
Simplify and express the following in exponential form:
254 ÷ 53
Simplify and express the following in exponential form:
`(3 xx 7^2 xx 11^8)/(21 xx 11^3)`
Simplify and express the following in exponential form:
`3^7/(3^4 xx 3^3)`
Simplify and express the following in exponential form:
20 + 30 + 40
Simplify and express the following in exponential form:
20 × 30 × 40
Simplify and express the following in exponential form:
(30 + 20) × 50
Simplify and express the following in exponential form:
`(2^8 xxa^5)/(4^3 xx a^3)`
Simplify and express the following in exponential form:
`(a^5/a^3)xx a^8`
Simplify and express the following in exponential form:
`(4^5 xx a^8b^3)/(4^5 xx a^5b^2)`
Simplify and express the following in exponential form:
`(2^3 xx 2)^2`
Say true or false and justify your answer:
10 × 1011 = 10011
True
False
Say true or false and justify your answer:
23 > 52
True
False
Say true or false and justify your answer:
23 × 32 = 65
True
False
Say true or false and justify your answer:
30 = (1000)0
True
False
Express the following as a product of prime factors only in exponential form:
108 × 192
Express the following as a product of prime factors only in exponential form:
270
Express the following as a product of prime factors only in exponential form:
729 × 64
Express the following as a product of prime factors only in exponential form:
768
Simplify:
`((2^5)^2 xx 7^3)/(8^3 xx 7)`
Simplify:
`(25 xx 5^2 xx t^8)/(10^3 xx t^4)`
Simplify:
`(3^5 xx 10^5 xx 25)/(5^7 xx 6^5)`
NCERT solutions for Mathematics [English] Class 7 11 Exponents and Powers EXERCISE 11.3 [Page 184]
Write the following number in the expanded form:
279404
Write the following number in the expanded form:
3006194
Write the following number in the expanded form:
2806196
Write the following number in the expanded form:
120719
Write the following number in the expanded form:
20068
Find the number from the following expanded form:
8 × 104 + 6 × 103 + 0 × 102 + 4 × 101 + 5 × 100
Find the number from the following expanded form:
4 × 105 + 5 × 103 + 3 × 102 + 2 × 100
Find the number from the following expanded form:
3 × 104 + 7 × 102 + 5 × 100
Find the number from the following expanded form:
9 × 105 + 2 × 102 + 3 × 101
Express the following number in standard form:
5,00,00,000
Express the following number in standard form:
70,00,000
Express the following number in standard form:
3,18,65,00,000
Express the following number in standard form:
3,90,878
Express the following number in standard form:
39087.8
Express the following number in standard form:
3908.78
Express the number appearing in the following statement in standard form:
The distance between Earth and Moon is 384,000,000 m.
Express the number appearing in the following statement in standard form.
Speed of light in vacuum is 300,000,000 m/s.
Express the number appearing in the following statement in standard form:
Diameter of the Earth is 1,27,56,000 m.
Express the number appearing in the following statement in standard form:
Diameter of the Sun is 1,400,000,000 m.
Express the number appearing in the following statement in standard form:
In a galaxy there are on an average 100,000,000,000 stars.
Express the number appearing in the following statement in standard form:
The universe is estimated to be about 12,000,000,000 years old.
Express the number appearing in the following statement in standard form:
The distance of the Sun from the centre of the Milky Way Galaxy is estimated to be 300,000,000,000,000,000,000 m.
Express the number appearing in the following statement in standard form:
60,230,000,000,000,000,000,000 molecules are contained in a drop of water weighing 1.8 gm.
Express the number appearing in the following statement in standard form:
The earth has 1,353,000,000 cubic km of sea water.
Express the number appearing in the following statement in standard form:
The population of India was about 1,027,000,000 in March, 2001.
Solutions for 11: Exponents and Powers
NCERT solutions for Mathematics [English] Class 7 chapter 11 - Exponents and Powers
Shaalaa.com has the CBSE Mathematics Mathematics [English] Class 7 CBSE solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. NCERT solutions for Mathematics Mathematics [English] Class 7 CBSE 11 (Exponents and Powers) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.
Further, we at Shaalaa.com provide such solutions so students can prepare for written exams. NCERT textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.
Concepts covered in Mathematics [English] Class 7 chapter 11 Exponents and Powers are Concept of Exponents, Multiplying Powers with the Same Base, Dividing Powers with the Same Base, Taking Power of a Power, Multiplying Powers with Different Base and Same Exponents, Dividing Powers with Different Base and Same Exponents, Miscellaneous Examples Using the Laws of Exponents, Decimal Number System Using Exponents and Powers, Crores, Numbers with Exponent Zero, One, Negative Exponents, Concept of Exponents, Multiplying Powers with the Same Base, Dividing Powers with the Same Base, Taking Power of a Power, Multiplying Powers with Different Base and Same Exponents, Dividing Powers with Different Base and Same Exponents, Miscellaneous Examples Using the Laws of Exponents, Decimal Number System Using Exponents and Powers, Crores, Numbers with Exponent Zero, One, Negative Exponents.
Using NCERT Mathematics [English] Class 7 solutions Exponents and Powers exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in NCERT Solutions are essential questions that can be asked in the final exam. Maximum CBSE Mathematics [English] Class 7 students prefer NCERT Textbook Solutions to score more in exams.
Get the free view of Chapter 11, Exponents and Powers Mathematics [English] Class 7 additional questions for Mathematics Mathematics [English] Class 7 CBSE, and you can use Shaalaa.com to keep it handy for your exam preparation.
