NCERT Class 7 Maths Chapter 13 Exponents and Powers Exercise 13.2

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 × 3⁸
Answer:

(ii) 6¹⁵ ÷ 6¹⁰
Answer:

(iii) a³ × a²
Answer:

(iv) 7^x × 7²
Answer:

(v) (5²)³ ÷ 5³
Answer:

(vi) 2⁵ × 5⁵
Answer:

(vii) a⁴ × b⁴
Answer:

(viii) (3⁴)³
Answer:

(ix) (2²⁰ ÷ 2¹⁵) × 2³
Answer:

(x) 8^t ÷ 8²
Answer:

Question 2: Simplify and express each of the following in exponential form:
(i) 2³ × 3⁴ × 4/3 × 32
Answer:

(ii) ((5²)³ × 5⁴) ÷ 5⁷
Answer:

(iii) 25⁴ ÷ 5³
Answer:

(iv) 3 × 7² × 11⁸/21 × 11³
Answer:

(v) 3⁷/3⁴ × 3³
Answer:

(vi) 2⁰ + 3⁰ + 4⁰
Answer:

(vii) 2⁰ × 3⁰ × 4⁰
Answer:

(viii) (3⁰ + 2⁰) × 5⁰
Answer:

(ix) 2⁸ × a⁵/4³ × a³
Answer:

(x) a⁵/a³ × a⁸
Answer:

(xi) 4⁵ × a⁸b³/4⁵ × a⁵b²
Answer:

(xii) (2³ × 2)²
Answer:

Question 3: Say true or false and justify your answer:
(i) 10 × 10¹¹ = 100¹¹
Answer:

(ii) 2³ > 5²
Answer:

(iii) 2³ × 3² = 6⁵
Answer:

(iv) 3⁰ = (1000)⁰
Answer:

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) 768
Answer:

Question 5: Simplify:
(i) (2⁵)² × 7³/8³ × 7
Answer:

(ii) 25 × 5² × t⁸/10³ × t⁴
Answer:

(iii) 3⁵ × 10⁵ × 25/5⁷ × 6⁵
Answer: