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 3^{7}, 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 3 ^{7}, base = …. and exponent =**

In the expression 3^{7}, 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 = 6^{8}

**Question 2. Find the value of the following:**

(i) 2^{6}

(ii) 5^{5}

(v) (-6)^{4}

(vi) (2/3)^{4}

(v) (-2/3)^{5}

(vi) (-2)^{9}

**Answer:**

**(i) 2 ^{6}**

2^{6} = 2 × 2 × 2 × 2 × 2 × 2 = 64

**(ii) 5 ^{5}**

5^{5} = 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 = 6^{5}

**(ii) t x t x t**

t x t x t = t^{3}

**(iii) 2 x 2 x a x a x a x a**

2 x 2 x a x a x a x a = 2^{2}a^{4}

**(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 = a^{3}c^{4}d

**Question 4. Simplify the following:**

(i) 7 × 10^{3}

(ii) 2^{5}× 9

(iii) 3^{3} × 10^{4}

**Answer:**

**(i) 7 x 10 ^{3}**

The above question can be written as,

= 7 x 10 x 10 x 10

= 7 x 1000

= 7000

**(ii) 2 ^{5} 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) 3 ^{3} x 10^{4}**

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) 25^{2} × (-1)^{31}

(vi) 4^{2} × 3^{3} × (-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) 25 ^{2} x (-1)^{31}**

The above question can be written as,

= 25 x 25 x (-1)

= 625 x (-1)

= -625

**(vi) 4 ^{2} x 3^{3} 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) 4^{3} or 3^{4}

(ii) 7^{3} or 3^{7}

(iii) 4^{5} or 5^{4}

(iv) 2^{10} or 10^{2}

**Answer:**

**(i) 4 ^{3} or 3^{4}**

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,

3^{4} is the greater number.

**(ii) 7 ^{3} or 3^{7}**

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,

3^{7} is the greater number.

**(iii) 4 ^{5} or 5^{4}**

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,

4^{5} is the greater number.

**(iv) 2 ^{10} or 10^{2}**

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,

2^{10} 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 = 2^{4}

**(ii) 128**

128 can be written as the power of 2,

2 x 2 x 2 x 2 x 2 x 2 x 2 = 2^{7}

**(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 = 2^{10}

**Question -8. To what power (-2) should be raised to get 16?**

**Answer:**

16 = -2 x -2 x -2 x -2 = -2^{4}

#### Power = 4

**Question -9. Write the following numbers as powers of (-3):**

(i) 9

(ii) -27

(iii) 81

**Answer:**

(i) 9 = -3 x -3 = -3^{2}

(ii) -27 = -3 x -3 x -3 = -3^{3}

(iii) 81 = -3 x -3 x -3 x -3 = -3^{4}

**Question 10. Find the value of x in each of the following:**

(i) 7^{x} = 343

(ii) 3^{x} = 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:**

— : End of ML Aggarwal Exponents and Powers Exe-4.1 Class 7 ICSE Maths Solutions :–

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