NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers Ex 13.1

NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers Ex 13.1 are part of NCERT Solutions for Class 7 Maths. Here we have given NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers Ex 13.1.

Board CBSE
Textbook NCERT
Class Class 7
Subject Maths
Chapter Chapter 13
Chapter Name Exponents and Powers
Exercise Ex 13.1
Number of Questions Solved 8
Category NCERT Solutions

NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers Ex 13.1

Question 1.
Find the value of:

  1. 26
  2. 93
  3. 112
  4. 54.

Solution:

  1. 26 = 2 × 2 × 2 × 2 × 2 × 2 = 64
  2. 93 = 9 × 9 × 9 = 729
  3. 112 = 11 × 11 = 121
  4. 54 = 5 × 5 × 5 × 5 = 625.

Question 2.
Express the following in exponential form:

  1. 6 × 6 × 6 × 6
  2. t × t
  3. b × b × b × b
  4. 5 × 5 × 7 × 7 × 7
  5. 2 × 2 × a × a
  6. a × a × a × c × c × c × c × d.

Solution:

  1. 6 × 6 × 6 × 6 = 64
  2. t × t = t2
  3. b × b × b × b = b4
  4. 5 × 5 × 7 × 7 × 7 = 52 × 73
  5. 2 × 2 × a × a = 22 × a2
  6. a × a × a × c × c × c × c × d = a3 × c4 × d.

Question 3.
Express each of the following numbers using the exponential notation:
(i) 512
(ii) 343
(iii) 729
(iv) 3125.
Solution:
NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers 1
NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers 2
NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers 3

Question 4.

Identify wherever possible, in each of the following?
NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers 4
Solution:
NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers 5
NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers 6

Question 5.
Express each of the following as a product of powers of their prime factors:
(i) 648
(ii) 405
(iii) 540
(iv) 3600
Solution:
NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers 7
NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers 8
NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers 9
NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers 10

Question 6.
Simplify:
NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers 11
Solution:
NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers 12

Question 7.
Simplify:
NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers 13
Solution:
NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers 14
NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers 15

Question 8.
Compare the following numbers:
NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers 16
Solution:
NCERT Solutions for Class 7 Maths Chapter 13 Exponents and Powers 17

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