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Published on: 31/10/2025
Download CBSE Class 7th Standard CBSE Mathematics question papers, sample papers, important questions, and previous year solved papers in PDF format. Get free study materials, NCERT solutions, and exam preparation resources for Class 7th Standard CBSE Mathematics
Questions + Answers key
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1.
Express the following in exponential form: b x b x b x b
2.
Express the following in exponential form: 5 x 5 x 7 x 7 x 7
3.
Express each of the following as product of powers of their prime factors. 648
4.
Express each of the following as product of powers of their prime factors. 405
5.
Express the following as a power of - 3: 81
6.
Express the following as a power of - 3: - 243
7.
Express the number 25730 in standard form.
8.
Identify the base and exponent of:
32
9.
Identify the base and exponent of:
10010
10.
Write in the exponential form:
64
11.
Write in the exponential form:
243
12.
Find the value of:
73
13.
Find the value of:
64
14.
Find the value of:
(-7)4
15.
If you start from 36 = 729, and proceed as shown in the above finding 35, 34,33, ... , etc, what will be 30 = ?
1.
b x b x b x b = b4 [since, b is multiplied 4 times]
2.
5 x 5 x 7 x 7 x 7 = 52 x 73 [since, 5 is multiplied 2 times and 7 is multiplied 3 times]
3.
We have, 648

= 2 x324 = 2 x 2 x162
= 2 x 2 x 2 x81 = 2 x 2 x 2 x3 x 27
=2x2x2x3x3x9
= 2 x 2 x 2 x3 x3 x3 x3 = 23 x34
Hence, the number 648 can be expressed as 23 x34 ,
which is the required form.
4.
We have, 405

= 3 x135 = 3 X3 X 45 = 3 x3 x3 x15
=3x3x3x3x5=34 x51
Hence, the number 405 can be expressed as 34 x 51,
which is the required form
5.
(- 3)4
6.
(- 3)5
7.
25730 = 2·573 x 10,000
= 2.573 x 104.
8.
3;2
9.
100;10
10.
26
11.
35
12.
343
13.
1296
14.
2401
15.
36=729
35=243
34=81
33=27
32=9
31=3
30=1
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