# Worksheets for Class 7 Exponents and Powers – Chapter 13

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

(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

(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

(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

(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

(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.