Exponents and Powers Worksheets for Class 7 with answers in PDF format with free download

Worksheets for Class 7 Exponents and Powers – Chapter 13

January 26, 2023

Download free pdf of Chapter 13 Exponents and Powers Worksheets for Class 7 Maths with answers. Students can easily get all the Class 7 Maths Worksheets and Exercises in Free Printable ( PDF Format) as per the latest syllabus and examination pattern in CBSE and NCERT pattern. Below you will find all the Exponents and Powers related sums that are asked in 7th Grade Mathematics Exams Across Indian Schools.

Exponents and Powers Worksheets for Class 7 in PDF Format

CBSE Class 7 Exponents and Powers Worksheets with answers

Q.1 Simplify and write in exponential form:
(i) 25 × 23
(ii) p3 × p2
(iii) 43 ×42
(iv) a3 ×a2 ×a7
(v) 53 ×57 ×512
(vi) (– 4)100 × (–4)20

Answers

(i) 184 (ii) p5 (iii) 45 (iv) a12 (v) 522 (vi) ( –4120 )

Q.2 Simplify and write in exponential form:
(i) 29 ÷ 23
(ii) 108 ÷ 104
(iii) 911 ÷ 97
(iv) 2015 ÷ 2013
(v) 713 ÷ 710

Q.3 Express the following numbers as a product of powers of prime factors:
(i) 72 (ii) 432 (iii) 1000 (iv) 16000

Q.4 Express each of the following numbers using exponential notation:
(i) 512 (ii) 343 (iii) 729 (iv) 3125

Answers :

(i) 29
(ii) 73
(iii) 36
(iv) 55

Q.5 Express the following numbers as a product of powers of prime factors:
(i) 72 (ii) 432 (iii) 1000 (iv) 16000

Answers

(i) 23 × 32.
(ii) 24 × 33
(iii) 23 × 53
(iv) 29 × 53

Q.6 Write exponential form for 8 × 8 × 8 × 8 taking base as 2.

Answer : 8×8×8×8 in exponential form with a base of 2 is 212

Q.7 Express the following numbers in standard form.
(i) 0.00000000000000000000035
(ii) 4050000000000
(iii) 51000000000000000000
(iv) 0.0000000000000000000000000000625
(v) 0.000000000000001257

Answers:

(i) Standard Form: 3.5×10-22

(ii) Standard Form: 4.05×1012

(iii) Standard Form: 5.1×1029

(iv) Standard Form: 6.25×10-29

(v) Standard Form: 1.257×10-15

Q.8 Express:
(i) 729 as a power of 3
(ii) 128 as a power of 2
(iii) 343 as a power of 7
(iv) 256 as a power 2

Answers:

(i) 36

(ii) 27

(iii) 73

(iv) 28

Q 9: Word Problems

  1. If a bacterium doubles every hour, and there are 16 bacteria initially, how many bacteria will there be after 5 hours?
    Answer: 16×25=16 × 32 = 512 =512 bacteria
  2. A geometric sequence starts with 33 and each successive term is 55 times the previous term. Find the fifth term.
    Answer: Fifth term = 3×54 =1875
  3. If 2x=64, find the value of x.
    Answer: x = 6
  4. A bacteria colony doubles in size every hour. If there were 16 bacteria initially, how many bacteria will there be after 5 hours?
    Answer: 512512 bacteria
  5. A book has 400 pages. If you read 10 pages each day, how many days will it take to finish the book?
    Answer: 4040 days
  6. The population of a city is 10,000, and it grows by 5% each year. What will the population be after 3 years?
    Answer: 11576.2511576.25 (rounded to the nearest whole number, it’s 1157611576)
Exponents and Powers Worksheets for CBSE Class 7 in PDF