• Skip to main content
  • Skip to primary sidebar
  • Skip to footer
  • NCERT Solutions
    • NCERT Books Free Download
  • TS Grewal
    • TS Grewal Class 12 Accountancy Solutions
    • TS Grewal Class 11 Accountancy Solutions
  • CBSE Sample Papers
  • NCERT Exemplar Problems
  • English Grammar
  • MCQ Questions

CBSE Tuts

CBSE Maths notes, CBSE physics notes, CBSE chemistry notes

NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers InText Questions

CBSE students can refer to NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers InText Questions and Answers are provided by experts in order to help students secure good marks in exams.

Class 7 Maths NCERT Solutions Chapter 13 Exponents and Powers InText Questions

Try These (Page 250)

Question 1.
Write 172, 5642, and 6374 in an expanded form.
Solution:
172 = 1 × 100 + 7 × 10 + 2
= 1 × 102 + 7 × 10 + 2

5642 = 5 × 1000 + 6 × 100 + 4 × 10 + 2
= 5 × 103 + 6 × 102 + 4 × 10 + 2

6374 = 6 × 1000 + 3 × 100 + 7 × 10 + 4
= 6 × 103 + 3 × 102 + 7 × 10 + 4

Try These (Page 250)

Question 1.
Find five more such examples, where a number is expressed in exponential form. Also, identify the base and the exponent in each case.
Solution:
(i) 34 = 3 × 3 × 3 × 3 = 81
In 34, 3 is known as base and 4 as an exponent.
(ii) 44 = 4 × 4 × 4 × 4 = 256
In 44, 4 is known as base and 4 as an exponent.
(iii) 75 = 7 × 7 × 7 × 7 × 7 = 16807
In 75, 7 is known as base and 5 as an exponent.
(iv) 53 = 5 × 5 × 5 = 125
In 53, 5 is known as base and 3 as an exponent.
(v) 26 = 2 × 2 × 2 × 2 × 2 × 2 = 64
In 26,2 is known as base and 6 as an exponent.

Try These (Page 251)

Question 1.
(i) 729 as a power of 3
Solution:
We have
NCERT Solutions for Class 7 maths Integers chapter 13 img 1
∴ 729 = 3 × 3 × 3 × 3 × 3 × 3 = 36

(ii) 128 as a power of 2
Solution:
We have
NCERT Solutions for Class 7 maths Integers chapter 13 img 2
∴ 128 = 2 × 2 × 2 × 2 × 2 × 2 × 2 = 27

(iii) 343 as a power of 7.
Solution:
(iii) We have
NCERT Solutions for Class 7 maths Integers chapter 13 img 3
∴ 343 = 7 × 7 × 7 = 73

Try These (Page 254)

Question 1.
Simplify and write in exponential form :
(i) 25 × 23
Solution:
25 × 23 = 25 + 3 = 28

(ii) p3 x p2
Solution:
p3 × p2 = p3 + 2 = p5

(iii) 43 × 42
Solution:
43 × 42 = 43 + 2 = 45

(iv) a3 × a2 × a7
Solution:
a3 × a2 × a7 = a3+2+7 = a12

(v) 53 × 57 × 512
Solution:
53 × 57 × 512 = 53+7+12 = 522

(vi) (- 4)100 × (- 4)20
Solution:
(- 4)100 × (- 4)20 = (- 4)100+20 = (- 4)120

Try These (Page 255)

Question 1.
Simplify and write in exponential form : (e.g.,116 ÷ 112 = 114)
(i) 29 ÷ 23
Solution:
29 ÷ 23 = 29-3 = 26

(ii) 108 ÷ 104
Solution:
108 ÷ 104 = 108-4 =104

(iii) 911 ÷ 97
Solution:
911 ÷ 97 = 911-7 = 94

(iv) 2015 ÷ 2013
Solution:
2015 ÷ 2013 = 2015-13 = 202

(v) 713 ÷ 710
Solution:
713 ÷ 710 = 713-10 = 73

Try These (Page 255)

Question 1.
Simplify and write the answer in exponential form:
(i) (62)4
Solution:
(62)4 = 62×4 = 68

(ii) (22)100
Solution:
(22)100 = 22×100 = 2200

(iii) (750)2
Solution:
(750)2 = 750×2 = 7100

(iv) (53)7
Solution:
(53)7 = 53×7 = 521

Try These (Page 256)

Question 1.
Put into another form using am × bm = (ab)m :
(i) 43 × 23
Solution:
43 × 23 = (4 × 4 × 4) × (2 × 2 × 2)
= (4 × 2) × (4 × 2) × (4 × 2)
= (4 × 2)3

(ii) 25 × 65
Solution:
25 × 65 = (2 × 2 × 2 × 2 × 2) × (b × b × b × b × b)
= (2 × b) × (2 × b) × (2 × b) × (2 × b) × (2 × b)
= (2 × b)5 = (2b)5

(iii) a2 × t2
Solution:
a2 × t2 = (a × a) × (t × t) = (a × t) × (a × t)
=(a × t)2 = (at)2

(iv) 56 × (- 2)6
Solution:
56 × (- 2)6 = (5 × 5 × 5 × 5 × 5 × 5 ) × (- 2 × – 2 × – 2 × – 2 × – 2 × – 2)
= (5 × – 2) × (5 × – 2) × (5 × – 2) × (5 × – 2) × (5 × – 2) × (5 × – 2)
= (5 × – 2)6

(v) (-2)4 × (-3)4
Solution:
(- 2)4 × (- 3)4 = (- 2 × – 2 × – 2 × – 2) × (- 3 × – 3 × – 3 × – 3)
= (- 2 × – 3) × (- 2 × – 3) × (- 2 × – 3) × (- 2 × – 3)
= (- 2 × – 3)4

Try These (Page 257)

Put into another form using
NCERT Solutions for Class 7 maths Integers chapter 13 img 14
(i)
NCERT Solutions for Class 7 maths Integers chapter 13 img 4
Solution:
NCERT Solutions for Class 7 maths Integers chapter 13 img 9
(ii)
NCERT Solutions for Class 7 maths Integers chapter 13 img 5
Solution:
NCERT Solutions for Class 7 maths Integers chapter 13 img 10
(iii)
NCERT Solutions for Class 7 maths Integers chapter 13 img 6
Solution:
NCERT Solutions for Class 7 maths Integers chapter 13 img 11
(iv)
NCERT Solutions for Class 7 maths Integers chapter 13 img 7
Solution:
NCERT Solutions for Class 7 maths Integers chapter 13 img 12
(v)
NCERT Solutions for Class 7 maths Integers chapter 13 img 8
Solution:
NCERT Solutions for Class 7 maths Integers chapter 13 img 13

Try These (Page 261)

Question 1.
Expand by expressing powers of 10 in the exponential form :
(i) 172
Solution:
172 = 1 × 100 + 7 × 10 + 2 × 1
= 1 × 102 + 7 × 101 + 2 × 10°

(ii) 5,643
Solution:
5643 = 5 × 1000 + 6 × 100 + 4 × 10 +3 × 1
= 5 × 103 + 6 × 102 + 4 × 101 + 3 x 10°

(iii) 56,439
Solution:
56439 = 5 × 10000 + 6 × 1000 + 4 × 100 + 3 × 10 + 9
= 5 × 104 + 6 × 103 +4 × 102 + 3 × 101 + 9 × 10°

(iv) 1,76,428
Solution:
176428 = 1 × 100000 + 7 × 10000 + 6 × 1000 + 4 × 100 + 2 × 10 + 8 × 1
= 1 × 105 + 7 × 104 + 6 × 103 + 4 × 102 + 2 × 101 + 8 × 10°

Try These (Page 262)

Question 1.
The distance between Sun and Saturn is 1,433,500,000,000 m or 1.4335 × 1012 m. The distance between Saturn and Uranus is 1,439,000,000,000 m or 1.439 × 1012 m. The distance between Sun and Earth is 149,600,000,000 m or 1.496 × 1011 m. Can you tell which of the three distances is the smallest?
Solution:
Of the three given distances, the distance between Sun and Earth is the smallest.

Primary Sidebar

NCERT Exemplar problems With Solutions CBSE Previous Year Questions with Solutoins CBSE Sample Papers

Recent Posts

  • MCQ Questions with Answers for Class 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, and 1 all Subjects
  • Angle, Types of Angles
  • AND gate is formed by using two? 1)OR 2)NAND 3)NOT 4)NOR
  • And expression for one minus the quotient of one and a number X?
  • What is average human body temperature in Kelvins?
  • How many moles of caffeine are in a cup, and how many molecules of caffeine?
  • How far will the car have traveled in that time?
  • What is its atomic number?
  • How many neutrons does it have?
  • An atom loses electrons to form what?
  • What is the atomic number of this atom?
  • Which one of these is the answer?
  • What is its concentration?
  • Can an equilateral triangle also be isosceles?
  • What is the charge of an alpha particle?

Footer

Maths NCERT Solutions

NCERT Solutions for Class 12 Maths
NCERT Solutions for Class 11 Maths
NCERT Solutions for Class 10 Maths
NCERT Solutions for Class 9 Maths
NCERT Solutions for Class 8 Maths
NCERT Solutions for Class 7 Maths
NCERT Solutions for Class 6 Maths

SCIENCE NCERT SOLUTIONS

NCERT Solutions for Class 12 Physics
NCERT Solutions for Class 12 Chemistry
NCERT Solutions for Class 11 Physics
NCERT Solutions for Class 11 Chemistry
NCERT Solutions for Class 10 Science
NCERT Solutions for Class 9 Science
NCERT Solutions for Class 7 Science
MCQ Questions NCERT Solutions
CBSE Sample Papers
cbse ncert
NCERT Exemplar Solutions LCM and GCF Calculator
TS Grewal Accountancy Class 12 Solutions
TS Grewal Accountancy Class 11 Solutions