# ML Aggarwal Exponents and Powers Exe-4.2 Class 7 ICSE Maths Solutions

ML Aggarwal Exponents and Powers Exe-4.2 Class 7 ICSE Maths Solutions. We Provide Step by Step Answer of Exe-4.2 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-4.2 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-4.2 Questions |

Edition | 2023-2024 |

**Exponents and Powers Exe-4.2**

ML Aggarwal Class 7 ICSE Maths Solutions

Page-94

**Question 1. Using laws of exponents, simplify and write the following in the exponential form:**

**Answer:**

**Question 2. Simplify and write the following in the exponential form:**

(i) 5^{3} × 5^{7} × 5^{12}

(ii) a^{5} × a^{3} × a^{7}

(iii) (7^{12} × 7^{3}) ÷ 7^{4}

**Answer:**

(i) 5^{3} × 5^{7} × 5^{12}

= 5^{3+7+22}

= 5^{22}

(ii) a^{5} × a^{3} × a^{7}

= a^{5+3+7}

= a^{15}

(iii) (7^{12} × 7^{3}) ÷ 7^{4 }g

= = 7^{12+3} ÷ 7^{4}

= 7^{12-4}

= 7^{11}

**Question 3. Simplify and write the following in the exponential form:**

(i) (2^{2})^{100}

(ii) ((-7)^{6})^{5}

(iii) (3^{2})^{5} × (3^{4})^{7}

**Answer:**

Using (a^{m})^{n }= a^{mn}

**(i) (2 ^{2})^{100}**

= 2

^{2×100}

= 2

^{200}

**(ii) ((-7) ^{6})^{5}**

= (-7)^{30}

**(iii) (3 ^{2})^{5} × (3^{4})^{7}**

= 3^{2×5 }× 3^{4×7}

= 3^{10}× 3^{28}

= 3^{38}

**Question 4. Simplify and write in the exponential form:**

**Answer:**

**Question- 5. Simplify and write in the exponential form:**

**Answer:**

**Question -6. Simplify and express each of the following in the exponential form:**

**Answer:**

**Question-7. Express each of the following rational numbers in the exponential form:**

(i) 25/64

(ii) -125/216

(iii) -343/729

**Answer:**

**Question-8. Simplify the following:**

**Answer:**

**Question- 9. Simplify the following:**

**Answer:**

**Question -10. Simplify the following:**

**Answer:**

**Question -11. Simplify:**

**Answer:**

**Question -12. Express each of the following as a product of prime factors in the exponential form:**

(i) 108 × 192

(ii) 729 × 64

(iii) 384 × 147

**Answer:**

**Exponents and Powers Exe-4.2**

**ML Aggarwal Class 7 ICSE Maths Solutions**

Page-95

**Question 13. Simplify and write the following in the exponential form:**

(i) 3^{3} × 2^{2} + 2^{2} × 5^{0}

(ii) 9^{2} + 11^{2} – 2^{2} × 3 × 17^{0}

**Answer:**

**Question- 14.**

(i) By what number should we multiply 3^{4} so that the product is 3^{7}?

(ii) By what number should be multiple (-6)^{-1} so that the product is 10^{-1}?

**Answer:**

(i) Product = 3^{7}

Required number = 3^{7 }÷ 3^{4}

= 3^{7-4}

= 3^{3}

= 27

(ii) Product = 10^{-1}

Required number = 10^{-1} ÷ (-6)^{-1}

= (1/10) ÷(1/-6) = (1/10) x (-6/1) = (-3/5)

**Question 15.**

**Answer:**

**Question 16. If (-3)**^{x-1} = -234, then find the value of (-7)^{x-6}.

^{x-1}= -234, then find the value of (-7)

^{x-6}.

**Answer:**

— : End of ML Aggarwal Exponents and Powers Exe-4.2 Class 7 ICSE Maths Solutions :–

Return to **– **ML Aggarwal Maths Solutions for ICSE Class -7

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