ML Aggarwal Exponents and Powers Exe-4.1 Class 7 ICSE Maths Solutions. We Provide Step by Step Answer of Exe-4.1 Questions for Exponents and Powers as council prescribe guideline for upcoming board exam. Visit official Website CISCE for detail information about ICSE Board Class-7.
ML Aggarwal Exponents and Powers Exe-4.1 Class 7 Maths Solutions
| Board | ICSE |
| Publications | Avichal Publishig Company (APC) |
| Subject | Maths |
| Class | 7th |
| Chapter-4 | Exponents and Powers |
| Writer | ML Aggarwal |
| Book Name | Understanding |
| Topics | Solution of Exe-4.1 Questions |
| Edition | 2023-2024 |
Exponents and Powers Exe-4.1
ML Aggarwal Class 7 ICSE Maths Solutions
Page-87
Question 1 Fill in the blanks:
(i) In the expression 37, base = …….. and exponent = ……..
(ii) In the expression (-7)5, base = ………. and exponent = …….
(iii) In the expression (2/5)11, base = …… and exponent = …….
(iv) If base is 6 and exponent is 8, then exponential form = ……..
Answer:
(i) In the expression 37, base = …. and exponent =
In the expression 37, base = 3 and exponent = 7
(ii) In the expression (-7)5, base = ….. and exponent =
In the expression (-7)5, base = -7 and exponent = 5
(iii) In the expression (2/5)11 base = …. and exponent =
In the expression (2/5)11, base = 2/5 and exponent = 11
(iv) If the base is 6 and the exponent is 8, then exponential form =
If the base is 6 and the exponent is 8, then the exponential form = 68
Question 2. Find the value of the following:
(i) 26
(ii) 55
(v) (-6)4
(vi) (2/3)4
(v) (-2/3)5
(vi) (-2)9
Answer:
(i) 26
26 = 2 × 2 × 2 × 2 × 2 × 2 = 64
(ii) 55
55 = 5 × 5 × 5 × 5 × 5 = 3125
(iii) (-6)4
-6 × – 6 × -6 × -6 = 1296
(iv) (2/3)4
(2/3) × (2/3) × (2/3) × (2/3) = 16/81
(v) (-2/3)5
(-2/3)5 = (-2/3) × (-2/3) × (-2/3) × (-2/3) × (-2/3) = -32/729
(vi) (-2)9
-2 × -2 × -2 × -2 × -2 × -2 × -2 × -2 × -2 = -512
Exponents and Powers Exe-4.1
ML Aggarwal Class 7 ICSE Maths Solutions
Page-88
Question -3. Express the following in the exponential form:
(i) 6 × 6 × 6 × 6 × 6
(ii) t × t × t
(iii) 2 × 2 × a × a × a × a
(iv) a × a × a × c × c × c × c × d
Answer:
(i) 6 x 6 x 6 x 6 x 6
6 x 6 x 6 x 6 x 6 = 65
(ii) t x t x t
t x t x t = t3
(iii) 2 x 2 x a x a x a x a
2 x 2 x a x a x a x a = 22a4
(iv) a x a x a x c x c x c x c x d
a x a x a x c x c x c x c x d = a3c4d
Question 4. Simplify the following:
(i) 7 × 103
(ii) 25× 9
(iii) 33 × 104
Answer:
(i) 7 x 103
The above question can be written as,
= 7 x 10 x 10 x 10
= 7 x 1000
= 7000
(ii) 25 x 9
The above question can be written as,
= 2 x 2 x 2 x 2 x 2 x 9
= 32 x 9
= 288
(iii) 33 x 104
The above question can be written as,
= 3 x 3 x 3 x 10 x 10 x 10 x 10
= 27 x 10000
= 2,70,000
Question 5. Simplify the following:
(i) (-3) × (-2)3
(ii) (-3)2 × (-5)2
(iii) (-2)3 × (-10)4
(iv) (-1)9
(v) 252 × (-1)31
(vi) 42 × 33 × (-1)122
Answer:
(i) (-3) x (-2)3
The above question can be written as,
= (-3) x (-2) x (-2) x (-2)
= (-3) x (-8)
= 24
(ii) (-3)2 x (-5)2
The above question can be written as,
= (-3) x (-3) x (-5) x (-5)
= 9 x 25
= 225
(iii) (-2)3 x (-10)4
The above question can be written as,
= (-2) x (-2) x (-2) x (-10) x (-10) x (-10) x (-10)
= -8 x 10000
= -80000
(iv) (-1)9
The above question can be written as,
= (-1) x (-1) x (-1) x (-1) x (-1) x (-1) x (-1) x (-1) x (-1)
= -1
(v) 252 x (-1)31
The above question can be written as,
= 25 x 25 x (-1)
= 625 x (-1)
= -625
(vi) 42 x 33 x (-1)122
The above question can be written as,
= 4 x 4 x 3 x 3 x 3 x 1
= 16 x 27 x 1
= 432
Question 6. Identify the greater number in each of the following:
(i) 43 or 34
(ii) 73 or 37
(iii) 45 or 54
(iv) 210 or 102
Answer:
(i) 43 or 34
The above question can be written as,
4 x 4 x 4 = 64
3 x 3 x 3 x 3 = 81
By comparing the two results,
34 is the greater number.
(ii) 73 or 37
The above question can be written as,
7 x 7 x 7 = 343
3 x 3 x 3 x 3 x 3 x 3 x 3 = 2,187
By comparing the two results,
37 is the greater number.
(iii) 45 or 54
The above question can be written as,
4 x 4 x 4 x 4 x 4 = 1024
5 x 5 x 5 x 5 = 625
By comparing the two results,
45 is the greater number.
(iv) 210 or 102
The above question can be written as,
2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 1024
10 x 10 = 100
By comparing the two results,
210 is the greater number.
Question 7. Write the following numbers as powers of 2:
(i) 8
(ii) 128
(iii) 1024
Answer:
(i) 8
8 can be written as the power of 2,
2 x 2 x 2 x 2 = 24
(ii) 128
128 can be written as the power of 2,
2 x 2 x 2 x 2 x 2 x 2 x 2 = 27
(iii) 1024
1024 can be written as the power of 2,
2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 210
Question -8. To what power (-2) should be raised to get 16?
Answer:
16 = -2 x -2 x -2 x -2 = -24
Power = 4
Question -9. Write the following numbers as powers of (-3):
(i) 9
(ii) -27
(iii) 81
Answer:
(i) 9 = -3 x -3 = -32
(ii) -27 = -3 x -3 x -3 = -33
(iii) 81 = -3 x -3 x -3 x -3 = -34
Question 10. Find the value of x in each of the following:
(i) 7x = 343
(ii) 3x = 729
(in) (-8)x = -512
(iv) (-4)x = -1024
(v) (2/5)x = 32/3125
(vi) (-3/4)x = -243/1024
Answer:
Question -11. Write the prime factorization of the following numbers in the exponential form:
(i) 72
(ii) 360
(iii) 405
(iv) 540
(v) 2280
(vi) 3600
(vii) 4725
(viii) 8400
Answer:
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