## Chapter 13 Exponents and Powers Exercise 13.2

**Question 1: Using laws of exponents, simplify and write the answer in exponential form:(i) 3² × 3⁴ × 3⁸Answer:**

**(ii) 6¹⁵ ÷ 6****¹⁰**Answer:

**(iii) a³ × a²Answer:**

**(iv) 7^{x} × 7²Answer:**

**(v) (5²)³ ÷ 5³Answer:**

**(vi) 2****⁵ × 5****⁵Answer:**

**(vii) a****⁴ × b****⁴Answer:**

**(viii) (3****⁴)³Answer:**

**(ix) (2****²****⁰ ÷ 2****¹****⁵) × 2³Answer:**

**(x) 8^{t} ÷ 8²Answer:**

**Question 2: Simplify and express each of the following in exponential form:(i) 2³ × 3**

**⁴ × 4/3 × 32**

Answer:

Answer:

**(ii) ((5²)³ × 5****⁴) ÷ 5****⁷Answer:**

**(iii) 25****⁴ ÷ 5³Answer:**

**(iv) 3 × 7² × 11****⁸/21 × 11³Answer:**

**(v) 3****⁷/3****⁴ × 3³Answer:**

**(vi) 2****⁰ + 3****⁰ + 4****⁰Answer:**

**(vii) 2****⁰ × 3****⁰ × 4****⁰Answer:**

**(viii) (3****⁰ + 2****⁰) × 5****⁰Answer:**

**(ix) 2****⁸ × a****⁵/4³ × a³Answer:**

**(x) a****⁵/a³ × a****⁸Answer:**

**(xi) 4****⁵ × a****⁸b³/4****⁵ × a****⁵b²Answer:**

**(xii) (2³ × 2)²Answer:**

**Question 3: Say true or false and justify your answer:(i) 10 × 10**

**¹**

**¹ = 100**

**¹**

**¹**

Answer:

Answer:

**(ii) 2³ > 5²Answer:**

**(iii) 2³ × 3² = 6****⁵Answer:**

**(iv) 3****⁰ = (1000)****⁰Answer:**

**Question 4: Express each of the following as a product of prime factors only in exponential form:(i) 108 × 192 Answer:**

**(ii) 270 Answer:**

**(iii) 729 × 64****Answer:**

**(iv) 768Answer:**

**Question 5: Simplify:(i) (2**

**⁵)² × 7³/8³ × 7**

Answer:

Answer:

**(ii) 25 × 5² × t****⁸/10³ × t****⁴Answer:**

**(iii) 3****⁵ × 10****⁵ × 25/5****⁷ × 6****⁵Answer:**

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