ML Aggarwal Exponents and Powers Exe-4.2 Class 7 ICSE Maths Solutions

ML Aggarwal Exponents and Powers Exe-4.2 Class 7 ICSE Maths Solutions. We Provide Step by Step Answer of  Exe-4.2 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 Exe-4.2 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 Exe-4.2 Questions
Edition	2023-2024

Exponents and Powers Exe-4.2

ML Aggarwal Class 7 ICSE Maths Solutions

Page-94

Question 1. Using laws of exponents, simplify and write the following in the exponential form:

Answer:

Question 2. Simplify and write the following in the exponential form:

(i) 5³ × 5⁷ × 5¹²
(ii) a⁵ × a³ × a⁷
(iii) (7¹² × 7³) ÷ 7⁴

Answer:

(i) 5³ × 5⁷ × 5¹²

= 5³⁺⁷⁺²²

= 5²²
(ii) a⁵ × a³ × a⁷

= a⁵⁺³⁺⁷

= a¹⁵
(iii) (7¹² × 7³) ÷ 7⁴ g

= = 7¹²⁺³ ÷ 7⁴
= 7^12-4
= 7¹¹

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

(i) (2²)¹⁰⁰
(ii) ((-7)⁶)⁵
(iii) (3²)⁵ × (3⁴)⁷

Answer:

Using (a^m)ⁿ = a^mn

(i) (2²)¹⁰⁰
= 2^2×100
= 2²⁰⁰

(ii) ((-7)⁶)⁵

= (-7)³⁰

(iii) (3²)⁵ × (3⁴)⁷

= 3^2×5 × 3^4×7
= 3¹⁰× 3²⁸
= 3³⁸

Question 4. Simplify and write in the exponential form:

Answer:

Question- 5. Simplify and write in the exponential form:

Answer:

Question -6. Simplify and express each of the following in the exponential form:

Answer:

Question-7. Express each of the following rational numbers in the exponential form:

(i) 25/64

(ii) -125/216

(iii) -343/729

Answer:

Question-8. Simplify the following:

Answer:

Question- 9. Simplify the following:

Answer:

Question -10. Simplify the following:

Answer:

Question -11. Simplify:

Answer:

Question -12. Express each of the following as a product of prime factors in the exponential form:

(i) 108 × 192
(ii) 729 × 64
(iii) 384 × 147

Answer:

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Exponents and Powers Exe-4.2

ML Aggarwal Class 7 ICSE Maths Solutions

Page-95

Question 13. Simplify and write the following in the exponential form:

(i) 3³ × 2² + 2² × 5⁰
(ii) 9² + 11² – 2² × 3 × 17⁰

Answer:

Question- 14.

(i) By what number should we multiply 3⁴ so that the product is 3⁷?
(ii) By what number should be multiple (-6)^-1 so that the product is 10^-1?

Answer:

(i) Product = 3⁷
Required number = 3⁷ ÷ 3⁴

= 3^7-4

= 3³

= 27

(ii) Product = 10^-1
Required number = 10^-1 ÷ (-6)^-1

= (1/10) ÷(1/-6) = (1/10) x (-6/1) = (-3/5)

Question  15.

Answer:

Question  16. If (-3)^x-1 = -234, then find the value of (-7)^x-6.

Answer:

—  : End of ML Aggarwal Exponents and Powers Exe-4.2 Class 7 ICSE Maths Solutions :–

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

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