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CBSE Class 7  >  Class 7 Notes  >  Mathematics (Maths) (Old NCERT)  >  Class 7 Maths Chapter 10 Practice Question Answers - Exponents and Powers

Class 7 Maths Chapter 10 Practice Question Answers - Exponents and Powers

Q1. Evaluate: 23
(a) 2
(b) 4
(c) 8
(d) 6
Ans: (c)

Practice Questions: Exponents and PowersView Answer  Practice Questions: Exponents and Powers

Sol: 23
= 2 × 2 × 2
= 8.

Q2. Simplify: 52 × 53
(a) 10
(b) 25
(c) 3125
(d) 625
Ans: (c)

Practice Questions: Exponents and PowersView Answer  Practice Questions: Exponents and Powers

Sol: 52 × 53
Practice Questions: Exponents and PowersPractice Questions: Exponents and Powers

Q3. Evaluate: 40
(a) 0
(b) 1
(c) 4
(d) 2
Ans: (b)

Practice Questions: Exponents and PowersView Answer  Practice Questions: Exponents and Powers

Sol: Any non-zero number raised to the power of 0 is 1. So, 40 = 1.

Q4. Simplify: (22)3
(a) 6
(b) 8
(c) 64
(d) 16
Ans: (c)

Practice Questions: Exponents and PowersView Answer  Practice Questions: Exponents and Powers

Sol: (22)3
Practice Questions: Exponents and PowersPractice Questions: Exponents and Powers= 64.

Q5. Evaluate: 10(-2)
(a) 100
(b) 0.01
(c) 0.1
(d) 0.001
Ans: (b)

Practice Questions: Exponents and PowersView Answer  Practice Questions: Exponents and Powers

Sol: 10(-2)
= 1 / 102 = 1 / 100
= 0.01.

Q6. Simplify: (32) × (34)
(a) 9
(b) 81
(c) 243
(d) 729
Ans: (d)

Practice Questions: Exponents and PowersView Answer  Practice Questions: Exponents and Powers

Sol: (32) × (34)
Practice Questions: Exponents and PowersPractice Questions: Exponents and Powers

Q7. Evaluate: 15
(a) 5
(b) 1
(c) 0
(d) 6
Ans: (b)

Practice Questions: Exponents and PowersView Answer  Practice Questions: Exponents and Powers

Sol: Any non-zero number raised to the power of 0 is 1. So, 15 = 1.

Q8. Simplify: 61 × 62
(a) 12
(b) 18
(c) 216
(d) 72
Ans: (c)

Practice Questions: Exponents and PowersView Answer  Practice Questions: Exponents and Powers

Sol: 61 × 62
Practice Questions: Exponents and PowersPractice Questions: Exponents and Powers

Q9. Evaluate: 03
(a) 0
(b) 1
(c) 3
(d) 27
Ans: (a)

Practice Questions: Exponents and PowersView Answer  Practice Questions: Exponents and Powers

Sol: Any number (except 0) raised to the power of 0 is 1. However, 0^0 is undefined. So, 03 = 0.

Q10. Simplify: (23) ÷ (22)
(a) 1/2
(b) 2
(c) 4
(d) 8
Ans: (b)

Practice Questions: Exponents and PowersView Answer  Practice Questions: Exponents and Powers

Sol: (23) ÷ (22)
Practice Questions: Exponents and PowersPractice Questions: Exponents and Powers

Q11. Evaluate: 5(-3)
(a) -125
(b) 125
(c) -25
(d) 1/125
Ans: (d)

Practice Questions: Exponents and PowersView Answer  Practice Questions: Exponents and Powers

Sol: 5(-3)
= 1 / 53
= 1 / 125.

Q12. Simplify: (72) × (7(-1))
(a) 1/49
(b) 7
(c) 49
(d) 1/7
Ans: (b)

Practice Questions: Exponents and PowersView Answer  Practice Questions: Exponents and Powers

Sol: (72) × (7(-1))
Practice Questions: Exponents and PowersPractice Questions: Exponents and Powers

Q13. Evaluate: (-3)4
(a) -81
(b) 81
(c) -27
(d) 27
Ans: (b)

Practice Questions: Exponents and PowersView Answer  Practice Questions: Exponents and Powers

Sol: (-3)4
= (-3) × (-3) × (-3) × (-3)
= 81.

Q14. Simplify: (2(-3)) × (2(-2))
(a) 1/4
(b) 1/8
(c) 1/16
(d) 1/64
Ans: (c)

Practice Questions: Exponents and PowersView Answer  Practice Questions: Exponents and Powers

Sol: (2(-3)) × (2(-2))
Practice Questions: Exponents and PowersPractice Questions: Exponents and PowersPractice Questions: Exponents and Powers

Q15. Evaluate: (-2)3
(a) -8
(b) -2
(c) 8
(d) 2
Ans: (a)

Practice Questions: Exponents and PowersView Answer  Practice Questions: Exponents and Powers

Sol: (-2)3
= (-2) × (-2) × (-2)
= -8.

Q16. Simplify: (3(-2)) ÷ (3(-3))
(a) 1/9
(b) 1/6
(c) 1/27
(d) 1/81
Ans: (d)

Practice Questions: Exponents and PowersView Answer  Practice Questions: Exponents and Powers

Sol: (3(-2)) ÷ (3(-3))
Practice Questions: Exponents and Powers

Q17. Evaluate: (-1)0
(a) 0
(b) -1
(c) 1
(d) -2
Ans: (c)

Practice Questions: Exponents and PowersView Answer  Practice Questions: Exponents and Powers

Sol: Any non-zero number raised to the power of 0 is 1. So, (-1)0 = 1.

Q18. Simplify: (4(-1)) × (4(-2))
(a) 1/2
(b) 1/16
(c) 1/8
(d) 1/64
Ans: (b)

Practice Questions: Exponents and PowersView Answer  Practice Questions: Exponents and Powers

Sol: (4(-1)) × (4(-2))Practice Questions: Exponents and PowersPractice Questions: Exponents and Powers

Q19. Evaluate: (-5)2
(a) -25
(b) 25
(c) -10
(d) 10
Ans: (b)

Practice Questions: Exponents and PowersView Answer  Practice Questions: Exponents and Powers

Sol: (-5)2
= (-5) × (-5)
= 25.

Q20. Evaluate: (-3)2
(a) -9
(b) 9
(c) -6
(d) 6
Ans: (b)

Practice Questions: Exponents and PowersView Answer  Practice Questions: Exponents and Powers

Sol:Practice Questions: Exponents and Powers

The document Class 7 Maths Chapter 10 Practice Question Answers - Exponents and Powers is a part of the Class 7 Course Mathematics (Maths) Class 7 (Old NCERT).
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FAQs on Class 7 Maths Chapter 10 Practice Question Answers - Exponents and Powers

1. What are exponents and how are they represented?
Ans. Exponents are a mathematical notation that indicates how many times a number, known as the base, is multiplied by itself. They are represented as a small number called a superscript that appears to the right of the base number. For example, in 23, 2 is the base and 3 is the exponent, indicating that 2 is multiplied by itself two more times (2 × 2 × 2).
2. What are the laws of exponents?
Ans. The laws of exponents are rules that simplify calculations involving exponents. Key laws include: 1. Product of Powers: am × an = am+n 2. Quotient of Powers: am ÷ an = am−n 3. Power of a Power: (am)n = amn 4. Power of a Product: (ab)m = am × bm 5. Power of a Quotient: (a/b)m = am/bm These laws help in manipulating and simplifying expressions involving exponents.
3. How do you evaluate expressions with negative exponents?
Ans. Negative exponents indicate the reciprocal of the base raised to the positive exponent. For example, a−n is evaluated as 1/an. Thus, if you have 2−3, it can be evaluated as 1/23, which equals 1/8.
4. What is the significance of zero as an exponent?
Ans. Any non-zero number raised to the power of zero is equal to one. This is expressed as a0 = 1, where a is any non-zero number. This rule holds true because it maintains the consistency of the laws of exponents when simplifying expressions.
5. Can you provide examples of real-world applications of exponents?
Ans. Exponents are widely used in various real-world applications such as in scientific notation, which simplifies the representation of very large or very small numbers. For example, the speed of light is approximately 3 × 108 m/s. They are also used in calculating compound interest in finance, population growth models, and in computer science for algorithms and data complexity analysis.
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