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 |

**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**

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