In this chapter, we provide RD Sharma Class 6 ex 8.2 Solutions Chapter 8 Introduction to Algebra for English medium students, Which will very helpful for every student in their exams. Students can download the latest RD Sharma Class 6 ex 8.2 Solutions Chapter 8 Introduction to Algebra Maths pdf, Now you will get step by step solution to each question.

Textbook | NCERT |

Class | Class 6 |

Subject | Maths |

Chapter | Chapter 8 |

Chapter Name | Introduction to Algebra |

Exercise | Ex 8.2 |

Table of Contents

**RD Sharma Solutions for Class 6 Chapter 8 Introduction to Algebra** **Ex 8.2 Download PDF**

**Chapter 8: Introduction to Algebra – Exercise 8.2**

**Question: 1**

Write each of the following products into exponential form:

(i) a × a × a × a × . . . 15 times

(ii) 8 × b × b × b × a × a × a × a

(iii) 5 × a × a × a × b × b × c × c × c

(iv) 7 × a × a × a… 8 times × b × b × b ×.. . 5 times

(v) 4 × a × a × a ×. . . . 5 times × b × b × . . . 12 times × c × c × c . . . 15 times

**Solution:**

(i) a^{15}

(ii) 8a^{4}b^{3}

(iii) 5a^{3}b^{2}c^{3}

(iv) 7a^{8}b^{5}

(v) 4a^{5}b^{12}c^{15}

**Question: 2**

Write each of the following in the product form:

(i) a^{2}b^{5}

(ii) 8x^{3}

(iii) 7a^{3}b^{4}

(iv) 15a^{9}b^{8}c^{6}

(v) 30x^{4}y^{4}z^{5}

(vi) 43p^{10}q^{5}r^{15}

(vii) 17p^{12}q^{20}

**Solution:**

(i) a × a × b × b × b × b × b

(ii) 8 × x × x × x

(iii) 7 × a × a × a × b × b × b × b

(iv) 15 × a × a × a ×. . . 9 times × b × b × b × . . . 8 times

(v) 30 × x × x × x × x y × y × y × y × z × z … 5 times

(vi) 43 × p × p ….. 10 times × q × q … 5 times × r × r ….. 15 times

(vii) 17 × p × p … 12 times × q × q … 20 times

**Question: 3**

Write down each of the following in the exponential form:

(i) 4a^{3} × 6ab^{2} × c^{2}

(ii) 5xy × 3x^{2}y × 7y^{2}

(iii) a^{3} × 3ab^{2} × 2a^{2}b^{2}

**Solution:**

(i) 24a^{4}b^{2}c^{2}

(ii) 105x^{3}y^{4}

(iii) 6a^{6}b^{4}

**Question: 4**

The number of bacteria in a culture is x now. It becomes square of itself after one week. What will be its number after two weeks?

**Solution:**

Present number of bacteria in a culture = x

Number of bacteria in the culture after one week = x^{2}

Number of bacteria in the culture after two weeks = (x^{2})^{2} = x^{4}

**Question: 5**

The area of a rectangle is given by the product of its length and breadth. The length of a rectangle is two-thirs of its breadth. Find its area if its breadth is x cm.

**Solution:**

Breadth of the given rectangle = x cm

Length of the rectangle = 23 x cm

Area of the rectangle = 23x × x = 23 cm^{2}

**Question: 6**

If there are x rows of chairs and each row contains x^{2} chairs. Determine the total numbers of chairs.

**Solution:**

Total number of chairs = Number of rows × Number of chairs in each row

= x × x^{2} = x^{3}

**All Chapter RD Sharma Solutions For Class 6 Maths**

I think you got complete solutions for this chapter. If You have any queries regarding this chapter, please comment on the below section our subject teacher will answer you. We tried our best to give complete solutions so you got good