ML Aggarwal Exponents and Powers MCQs Class 7 ICSE Maths Solutions

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

Exponents and Powers MCQs

ML Aggarwal Class 7 ICSE Maths Solutions

Page-98

Mental Maths

Question 1. Fill in the blanks:

(i) In the expression (-5)⁹, exponent = ……… and base = ………..
(ii) If the base is −3/4 and exponent is 5, then exponential form is ………
(iii) The expression (x²y⁵)³ in the simplest form is ………
(iv) If (100)0 = 10n, then the value of n is ……..

(viii) 35070000 = 3.507 × 10^….
(ix) If (-2)ⁿ = -128, then n = ……..

Answer:

(i) In the expression (-5)⁹, exponent = 9 and base = -5
(ii) If the base is −3/4 and exponent is 5, then exponential form is (-3/4)⁵
(iii) The expression (x²y⁵)³ in the simplest form is (x²)³×(y⁵)³ = x⁶y¹⁵
(iv) If (100)0 = 10n, then the value of n is 0

(viii) 35070000 = 3.507 × 10⁷
(ix) If (-2)ⁿ = -128, then n = (-2)⁷

Question 2. State whether the following statements are true (T) or false (F):

(i) If a is a rational number then am × an = am×n

(ii) 2³ × 3² = 65.
(iii) The value of (-2)^-3 is −1/8.

(iv) The value of the expression 2⁹ × 2⁹¹ – 2¹⁹ × 2⁸¹ is 1.
(v) 5⁶ ÷ (-2)⁶ = −5/2
(vi) 5⁰ × 3⁰ = 8⁰

(vii) 2³/ 7<(2/7)³

(viii) (10 + 10)⁴ = 10⁴ + 10⁴.
(ix) x⁰ × x⁰ = x⁰ ÷ x⁰, where x is a non-zero rational number.
(x) 4⁹ is greater than 16³.
(xi) x^m + x^m = x^2m, where x is a non-zero rational number and m is a positive integer.
(xii) (4/3)⁵×(5/7)⁵=(.4⁄3+.5⁄7)⁵

Answer:

(i) If a is a rational number then am × an = am×n  False

(ii) 2³ × 3² = 65. False
(iii) The value of (-2)^-3 is −1/8. True

(iv) The value of the expression 2⁹ × 2⁹¹ – 2¹⁹ × 2⁸¹ is 1. False
(v) 5⁶ ÷ (-2)⁶ = −5/2 False
(vi) 5⁰ × 3⁰ = 8⁰ True

(vii) 2³/ 7<(2/7)³ False

(viii) (10 + 10)⁴ = 10⁴ + 10⁴. False
(ix) x⁰ × x⁰ = x⁰ ÷ x⁰, where x is a non-zero rational number.  True
(x) 4⁹ is greater than 16³. True
(xi) x^m + x^m = x^2m, where x is a non-zero rational number and m is a positive integer. False
(xii) (4/3)⁵×(5/7)⁵=(.4⁄3+.5⁄7)⁵ False

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Exponents and Powers MCQs

ML Aggarwal Class 7 ICSE Maths Solutions

Page-99

Choose the correct answer from the given four options (3 to 12)

Question 3. a × a × a × b × b × b is equal to

(a) a³b²
(b) a²b³
(c) (ab)³
(d) a⁶b6

Answer:

(c) (ab)³

Question 4. (-2)³ × (-3)² is equal to

(a) 6⁵
(b) (-6)⁶
(c) 72
(d) -72

Answer:

(d) -72

Question 5. The expression (pqr)³ is equal to

(a) p³qr
(b) pq³r
(c) pqr³
(d) p³q³r³

Answer:

(d) p³q³r³

Question -6.

Answer:

Question- 7.

Answer:

Question 8. The value of (5³⁰ × 5²⁰) ÷ (5⁵)⁹ in the exponential form is

(a) 5^-5
(b) 5⁵
(c) 5⁵⁰
(d) 5⁹⁵

Answer:

(b) 5⁵

Question 9. The law (𝑎/𝑏)ⁿ=aⁿ /bⁿ does not hold when

(a) a = 3, b = 2
(b) a = -2, b = 3
(c) n = 0
(d) b = 0

Answer:

(d) b = 0

Question -10

Answer:

Question -11.

Answer:

Question -12. The value of 5^-1 – 6^-1 is

(a) 1/30
(b) −1/30
(c) 30
(d) -30

Answer:

(a) 1/30

Question- 13. The value of (6^-1 – 8^-1)^-1 is

(a) −1/2
(b) -2
(c) 1/24
(d) 24

Answer:

(d) 24

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Exponents and Powers MCQs

ML Aggarwal Class 7 ICSE Maths Solutions

Page-100

Question -14.

Answer:

Question -15. If 2³ + 1³ = 3^x, then the value of x is

(a) 0
(b) 1
(c) 2
(d) 3

Answer:

(c)  x = 2

(ML Aggarwal Exponents and Powers MCQs Class 7 ICSE Maths Solutions)

Question 16. The standard form of 751.65 is

(a) 7.5165 × 10²
(b) 75.165 × 10¹
(c) 7.5165 × 10⁴
(d) 7.51 × 10²

Answer:

(a) 7.5165 × 10²

Question -17. The usual form of 5.658 × 10⁵ is

(a) 5658
(b) 56580
(c) 565800
(d) 5658000

Answer:

5.658 × 10⁵  = 565800 (c)

Question- 18. Which of the following numbers is in the standard form?

(a) 26.57 × 10⁴
(b) 2.657 × 10⁴
(c) 265.7 × 10³
(d) 0.2657 × 10⁶

Answer:

(b) 2.657 × 10⁴

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