ML Aggarwal Exponents and Powers Check Your Progress Class 7 ICSE Maths Solutions. We Provide Step by Step Answer of Check Your Progress 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 Check Your Progress 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 Check Your Progress Questions |

Edition | 2023-2024 |

**Exponents and Powers Check Your Progress**

ML Aggarwal Class 7 ICSE Maths Solutions

Page-101

**Question 1. Find the value of each of the following:**

(i) (-3)^{3} × 5^{2}

(ii) (-1)^{501} × [(27)^{4} ÷ (9)^{5}]

(iii) ..(−3.^{1}⁄_{2}.)^{3}……………..

**Answer:**

**(i) (-3) ^{3} × 5^{2}**

= (−3) × (−3) × (−3) × 5 × 5

= −27 × 25

= −675

**Question -2. Simplify the following:**

**Answer:**

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

**Answer:**

**Question -4. If (-3/5)**^{1} **= -27/125, then find the value of x**.

^{1}

**Answer:**

**Question 5. Write the prime factorisation of the following numbers in the exponential form:**

(i) 24000

(ii) 12600

(iii) 14157

**Answer:**

**(i) 24000**

= 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5

= 2^{6} × 3^{1 }× 5^{3}

**(ii) 12600**

= 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7

= 2^{3} × 3^{2} × 5^{2} × 7^{1}

**(iii) 14157**

= 3 × 3 × 11 × 11 × 13

= 3^{2} × 11^{2} × 13^{1}

**Question 6. Express the numbers appearing in the following statements in scientific notation:**

(i) The earth has 1,353,000,000 cubic km of water.

(ii) The population of India was about 1,027,000,000 in march, 2001.

(iii) 60,230,000,000,000,000,000,000 molecules are contained in a drop of water.

**Answer:**

(i) The earth has 1,353,000,000 cubic km of water.

= 1.353 × 10^{9} cubic km

(ii) The population of India was about 1,027,000,000 in march, 2001.

= 1.027 × 10^{9}

(iii) 60,230,000,000,000,000,000 molecules are contained in a drop of water.

6.023 × 10^{22} molecules

**Question -7. Compare the following numbers:**

(i) 5.976 × 10^{24}; 8.689 × 10^{23}

(ii) 3.7662 × 10^{17}; 3.7671 × 10^{17}

**Answer:**

**(i) 5.976 × 10 ^{24}; 8.689 × 10^{23}**

Here in 5.976 × 10^{24}, 10^{2} is greater than in 8.689 × 10^{23}

5.976 × 10^{24} > 8.689 × 10^{24}

**(ii) 3.7662 × 10 ^{17} >3.7671 × 10^{17}**

Here 10^{24} is multiplied in both and 76671 > 7662

3.76671 × 10^{17} > 3.7662 × 10^{17}

— : End of ML Aggarwal Exponents and Powers Check Your Progress Class 7 ICSE Maths Solutions :–

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

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