ML Aggarwal Class 7 Solutions Chapter 4 Exponents and Powers Objective Type Questions for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 4 Exponents and Powers Objective Type Questions

Mental Maths

Question 1.
Fill in the blanks:
(i) In the expression (-5)9, exponent = ……… and base = ………..
(ii) If the base is \(\frac { -3 }{ 4 }\) 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 ……..
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 4 Exponents and Powers Objective Type Questions 1
(ix) 35070000 = 3.507 × 10….
(x) If (-2)n = -128, then n = ……..
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 4 Exponents and Powers Objective Type Questions 2
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 4 Exponents and Powers Objective Type Questions 2

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 \(\frac { -1 }{ 8 }\).
(iv) The value of the expression 29 × 291 – 219 × 281 is 1.
(v) 30 = (1000)0.
(vi) 56 ÷ (-2)6 = \(\frac { -5 }{ 2 }\)
(vii) 50 × 30 = 80
(viii) \(\frac { { 2 }^{ 3 } }{ 7 } <\left( \frac { 2 }{ 7 } \right) ^{ 3 }\)
(ix) (10 + 10)4 = 104 + 104.
(x) x0 × x0 = x0 ÷ x0, where x is a non-zero rational number.
(xi) 49 is greater than 163.
(xii) xm + xm = x2m, where x is a non-zero rational number and m is a positive integer.
(xiii) \(\left( \frac { 4 }{ 3 } \right) ^{ 5 }\times \left( \frac { 5 }{ 7 } \right) ^{ 5 }=\left( \frac { 4 }{ 3 } +\frac { 5 }{ 7 } \right) ^{ 5 }\)
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 4 Exponents and Powers Objective Type Questions 4
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 4 Exponents and Powers Objective Type Questions 5
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 4 Exponents and Powers Objective Type Questions 6

Multiple Choice Questions

Choose the correct answer from the given four options (3 to 18):
Question 3.
a × a × a × b × b × b is equal to
(a) a3b2
(b) a2b3
(c) (ab)3
(d) a6b6
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 4 Exponents and Powers Objective Type Questions 7

Question 4.
(-2)3 × (-3)2 is equal to
(a) 65
(b) (-6)6
(c) 72
(d) -72
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 4 Exponents and Powers Objective Type Questions 8

Question 5.
The expression (pqr)3 is equal to
(a) p3qr
(b) pq3r
(c) pqr3
(d) p3q3r3
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 4 Exponents and Powers Objective Type Questions 9

Question 6.
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 4 Exponents and Powers Objective Type Questions 10
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 4 Exponents and Powers Objective Type Questions 11

Question 7.
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 4 Exponents and Powers Objective Type Questions 12
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 4 Exponents and Powers Objective Type Questions 13

Question 8.
The value of (530 × 520) ÷ (55)9 in the exponential form is
(a) 5-5
(b) 55
(c) 550
(d) 595
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 4 Exponents and Powers Objective Type Questions 14

Question 9.
The law \(\left( \frac { a }{ b } \right) ^{ n }=\frac { { a }^{ n } }{ b^{ n } }\) does not hold when
(a) a = 3, b = 2
(b) a = -2, b = 3
(c) n = 0
(d) b = 0
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 4 Exponents and Powers Objective Type Questions 15

Question 10z
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 4 Exponents and Powers Objective Type Questions 16
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 4 Exponents and Powers Objective Type Questions 17

Question 11.
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 4 Exponents and Powers Objective Type Questions 18
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 4 Exponents and Powers Objective Type Questions 19

Question 12.
The value of 5-1 – 6-1 is
(a) \(\frac { 1 }{ 30 }\)
(b) \(\frac { -1 }{ 30 }\)
(c) 30
(d) -30
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 4 Exponents and Powers Objective Type Questions 20

Question 13.
The value of (6-1 – 8-1)-1 is
(a) \(\frac { -1 }{ 2 }\)
(b) -2
(c) \(\frac { 1 }{ 24 }\)
(d) 24
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 4 Exponents and Powers Objective Type Questions 21

Question 14.
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 4 Exponents and Powers Objective Type Questions 22
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 4 Exponents and Powers Objective Type Questions 23

Question 15.
If 23 + 13 = 3x, then the value of x is
(a) 0
(b) 1
(c) 2
(d) 3
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 4 Exponents and Powers Objective Type Questions 24

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
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 4 Exponents and Powers Objective Type Questions 25

Question 17.
The usual form of 5.658 × 105 is
(a) 5658
(b) 56580
(c) 565800
(d) 5658000
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 4 Exponents and Powers Objective Type Questions 26

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
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 4 Exponents and Powers Objective Type Questions 27

Value Based Questions

Question 1.
Typhoid is caused by bacteria Salmonella typhi. The size of Salmonella typhi is about 0.0000000005 mm. Express it in standard form. Vinay is suffering from typhoid, his doctor advised him to take healthy food and avoid eating food or drinking beverages from street vendors.
Why should we eat healthy food and why should we not eat food from street vendors?
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 4 Exponents and Powers Objective Type Questions 28

Higher Order Thinking Skills (HOTS)

Question 1.
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 4 Exponents and Powers Objective Type Questions 29
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 4 Exponents and Powers Objective Type Questions 30

Question 2.
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 4 Exponents and Powers Objective Type Questions 31
Solution:
ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 4 Exponents and Powers Objective Type Questions 32