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Class 8 Maths Chapter 2 Power Play – NCERT Stepwise Solutions & PDF

Q: 1. What is the name of chapter 2 of maths class 8?

NCERT Solutions for Class 8 Maths Chapter 2 covers the chapter titled Power Play. This chapter focuses on applying the laws of exponents and understanding powers in mathematics, helping students build foundational knowledge for advanced topics. By referring to Vedantu's teacher-reviewed, stepwise solutions, you can easily master all exercises related to Power Play for the CBSE 2025–26 syllabus.

Q: 2. What is the easiest way to find stepwise answers for Class 8 Maths Chapter 2 Power Play?

The most convenient way to access Class 8 Maths Chapter 2 Power Play stepwise answers is through Vedantu's NCERT Solutions page. These solutions are presented exercise-wise and follow the CBSE marking scheme, ensuring clarity and exam readiness. You can also download a free PDF for offline study directly from Vedantu.

Q: 3. Which questions are likely from this chapter in school exams?

For Class 8 Maths Chapter 2 Power Play, examiners often select questions that test your understanding of exponents, properties of powers, and their applications. Likely exam topics include:Applying rules of exponents to simplify expressionsSolve numerical problems involving large and small numbers as powersDefinition-based short questions on powersDiagram or concept-based questions on exponents

Q: 4. Are diagrams or definitions mandatory in answers for NCERT Solutions Class 8 Maths Chapter 2 Power Play?

Including definitions is often necessary in short answer questions, while diagrams may not be essential for Chapter 2 unless the question specifically asks for a representation of powers or exponentiation. Ensure clarity by starting with a definition if the problem demands, as per the CBSE marking scheme for NCERT Solutions Class 8 Maths Chapter 2 Power Play.

Q: 5. How do I structure long answers for better marks in Class 8 Maths Chapter 2 Power Play?

To earn maximum marks in long answer questions on Class 8 Maths Chapter 2 Power Play, organize your response as follows:Start with a clear introduction stating key concepts or definitionsShow each calculation step-by-step, using the appropriate properties of powersHighlight important formulae or rules appliedConclude with the final answer in a box for clarityReview for neatness and logical flow as per the CBSE marking scheme

Q: 6. Where can I download the chapter’s solutions PDF for NCERT Solutions Class 8 Maths Chapter 2 Power Play?

You can download the NCERT Solutions Class 8 Maths Chapter 2 Power Play PDF for free from Vedantu. The downloadable file includes stepwise, teacher-reviewed answers for every exercise and allows you to revise offline anytime. Access is provided exclusively via Vedantu's official website to ensure quality and alignment with the CBSE 2025–26 syllabus.

Q: 7. Which is the hardest chapter in class 8 maths?

While many students find some chapters more complex, NCERT Solutions Class 8 Maths Chapter 2 Power Play is generally considered accessible with focused practice. However, perception of difficulty varies, and consistent revision with Vedantu’s stepwise solutions makes mastering any chapter—including Power Play—much easier.

Q: 8. What are the most important topics from NCERT Solutions Class 8 Maths Chapter 2 Power Play?

Key topics in Chapter 2 – Power Play for Class 8 Maths include:Definition and properties of exponents and powersLaws of exponents—product, quotient, power of a powerUsing exponents to express large and small numbersSolving numerical problems involving powersApplication-based questions from the exercise and back questions

Q: 9. Is the fifth power of a number divisible by the cube of that number?

Yes, according to the properties explained in NCERT Solutions Class 8 Maths Chapter 2 Power Play, the fifth power of any number (a5) is always divisible by its cube (a3), since a5 divided by a3 equals a2. Vedantu provides detailed explanations of such concepts in every exercise solution.

Q: 10. Do examiners award partial marks for correct steps even if the final answer is wrong?

Under the CBSE marking scheme highlighted on Vedantu for NCERT Solutions Class 8 Maths Chapter 2 Power Play, partial marks are typically awarded for correct steps and logical approach, even if the final answer contains a minor error. Always show all your steps to maximize your score.

Step-by-Step NCERT Solutions for Class 8 Maths Chapter 2: Power Play

Searching for stepwise answers in NCERT Solutions for Class 8 Maths Chapter 2? Power Play is packed with calculations and concepts, and here you’ll discover simple explanations, clear methods, and all you need to make maths easier for the 2025–26 session.

Get exercise-wise solutions, quick revision notes, and a free PDF download—all crafted by experts as per the latest CBSE marking scheme. Whether it’s Maths Chapter 2.1 solution class 8 or worked examples, you’ll understand how to write every answer for full marks.

With clear definitions, stepwise explanations, and smart strategies, these solutions support your study plan and boost confidence. Access chapterwise questions, formulae, and exam tips—saving you time and making revision for Power Play truly stress-free.

Step-by-Step NCERT Solutions for Class 8 Maths Chapter 2: Power Play

1) Express the following in exponential form

(i) 6 × 6 × 6 × 6
Answer: 64
(ii) y × y
Answer: y2
(iii) b × b × b × b
Answer: b4
(iv) 5 × 5 × 7 × 7 × 7
Answer: 52 × 73
(v) 2 × 2 × a × a
Answer: 22 × a2
(vi) a × a × a × c × c × c × c × d
Answer: a3 × c4 × d

Extra: Values with Base 0

What is 02 and 05?
Answer: 02 = 0 and 05 = 0.
What is 0n (for positive integer n)?
Answer: 0n = 0 for all positive integers n. (Note: 00 is undefined/not defined.)
How do you read 54?
Answer: “5 raised to the power 4” / “5 to the power 4” / “5 power 4” / “4th power of 5”.

2) Express each number as a product of powers of prime factors (exponential form)

(i) 648
Answer: 648 = 23 × 34
(ii) 405
Answer: 405 = 34 × 5”
(iii) 540
Answer: 540 = 22 × 33 × 5
(iv) 3600
Answer: 3600 = 24 × 32 × 52

3) Write the numerical value

Note: Interpreting the given expressions in standard exponent form.

(i) 2 × 103
Answer: 2 × 1000 = 2000
(ii) 72 × 23
Answer: 49 × 8 = 392
(iii) 3 × 44
Answer: 3 × 256 = 768
(iv) (–3)2 × (–5)2
Answer: 9 × 25 = 225
(v) 32 × 104
Answer: 9 × 10000 = 90000
(vi) (–2)5 × (–10)6
Answer: (–32) × 1,000,000 = –32,000,000

Class 8 – Powers & Exponents

1. Find out the units digit in the value of 2224 ÷ 432? [Hint: 4 = 22]

Answer: 432 = (22)32 = 264. Hence 2224 ÷ 432 = 2224−64 = 2160. Units digit of powers of 2 cycles 2,4,8,6 every 4. Since 160 ≡ 0 (mod 4), the units digit is 6.

2. There are 5 bottles in a container. Every day, a new container is brought in. How many bottles would be there after 40 days?

Answer: Each day adds 5 bottles. In 40 days: 40 × 5 = 200 bottles.

3. Write the given number as the product of two or more powers in three different ways. The powers can be any integers. (i) 643 (ii) 1928 (iii) 32−5

Answer:

(i) 643

(26)3 = 218 = 210 × 28
49 = 44 × 44 × 4
86 = 83 × 83

(ii) 1928

1914 × 1914
1920 × 198
1910 × 1910 × 198

(iii) 32−5

(25)−5 = 2−25 = 2−10 × 2−10 × 2−5
8−5 × 4−5
16−5 × 2−5

4. Examine each statement below and find out if it is ‘Always True’, ‘Only Sometimes True’, or ‘Never True’. Explain your reasoning. (i) Cube numbers are also square numbers. (ii) Fourth powers are also square numbers. (iii) The fifth power of a number is divisible by the cube of that number. (iv) The product of two cube numbers is a cube number. (v) q46 is both a 4th power and a 6th power (q is a prime number).

Answer:

(i) Only Sometimes True (e.g., 64 is both; but 8 is not a square).
(ii) Always True since n4 = (n2)2.
(iii) Always True (n5 ÷ n3 = n2).
(iv) Always True (a3 × b3 = (ab)3).
(v) Never True because 46 is not a multiple of 4 or 6 (LCM = 12).

5. Simplify and write these in the exponential form.
(i) 10−2 × 10−5 (ii) 57 ÷ 54 (iii) 9−7 ÷ 94 (iv) (13−2)−3 (v) m5/n12 (mn)9

Answer:

(i) 10−7
(ii) 53
(iii) 9−11
(iv) 136
(v) m14 n−3

6. If 122 = 144 what is (i) (1.2)2 (ii) (0.12)2 (iii) (0.012)2 (iv) 1202

Answer:

(i) 1.44
(ii) 0.0144
(iii) 0.000144
(iv) 14,400

7. Circle the numbers that are the same— 24 × 36 64 × 32 610 182 × 62 624

Answer: The equal ones are 24 × 36, 64 × 32, and 182 × 62 (all simplify to 2436). The others differ.

8. Identify the greater number in each of the following—
(i) 43 or 34 (ii) 28 or 82 (iii) 1002 or 2100

Answer:

(i) 34 (81 > 64)
(ii) 28 (256 > 64)
(iii) 2100 (much larger than 10,000)

9. A dairy plans to produce 8.5 billion packets of milk in a year. They want a unique ID (identifier) code for each packet. If they choose to use the digits 0–9, how many digits should the code consist of?

Answer: With digits only, codes of length d give 10d possibilities. Need 10d ≥ 8.5×109 ⇒ smallest d is 10.

10. 64 is a square number (82) and a cube number (43). Are there other numbers that are both squares and cubes? Is there a way to describe such numbers in general?

Answer: Yes. Numbers that are both squares and cubes are exactly the sixth powers, i.e., n6 (e.g., 1, 64, 729, 4096, …).

11. A digital locker has an alphanumeric (it can have both digits and letters) passcode of length 5. Some example codes are G89P0, 38098, BRJKW, and 003AZ. How many such codes are possible?

Answer: 10 digits + 26 letters ⇒ 36 choices per place. Total codes = 365 = 60,466,176.

12. The worldwide population of sheep (2024) is about 109, and that of goats is also about the same. What is the total population of sheep and goats? (i) 209 (ii) 1011 (iii) 1010 (iv) 1018 (v) 2 × 109 (vi) 109 + 109

Answer: 109 + 109 = 2 × 109. Correct option: (v) 2 × 109.

13. Calculate and write the answer in scientific notation: (i) If each person in the world had 30 pieces of clothing, find the total number of pieces of clothing. (ii) There are about 100 million bee colonies in the world. Find the number of honeybees if each colony has about 50,000 bees. (iii) The human body has about 38 trillion bacterial cells. Find the bacterial population residing in all humans in the world. (iv) Total time spent eating in a lifetime in seconds.

Answer: (Taking world population ≈ 8 × 109)

(i) 30 × 8 × 109 = 2.4 × 1011
(ii) 108 × 5 × 104 = 5 × 1012
(iii) 3.8 × 1013 × 8 × 109 = 3.04 × 1023 ≈ 3.0 × 1023
(iv) ≈ 1.5 hours/day × 75 years ⇒ ≈ 1.5 × 108 seconds

14. What was the date 1 arab/1 billion seconds ago?

Answer: 1 billion seconds ≈ 31.7 years. From 27 October 2025 (IST), the date was approximately 17 February 1994.

Mastering Exponents and Powers in Class 8 Maths Chapter 2

Understanding the basics of exponents and powers builds a strong mathematical foundation. This chapter in the NCERT Class 8 Maths Power Play teaches you how to easily handle large numbers using simple laws.

Regular practice with laws of exponents and questions from the textbook helps in mastering calculation speed and accuracy. Always focus on understanding how to apply these rules to real problems for better scores.

Make it a habit to review key formulas and take short notes. Strengthen concepts with NCERT Solutions Class 8 Maths Chapter 2 Power Play (2025-26) to stay ahead in your school exams and boost overall confidence.

FAQs on Class 8 Maths Chapter 2 Power Play – NCERT Stepwise Solutions & PDF

1. What is the name of chapter 2 of maths class 8?

NCERT Solutions for Class 8 Maths Chapter 2 covers the chapter titled Power Play. This chapter focuses on applying the laws of exponents and understanding powers in mathematics, helping students build foundational knowledge for advanced topics. By referring to Vedantu's teacher-reviewed, stepwise solutions, you can easily master all exercises related to Power Play for the CBSE 2025–26 syllabus.

2. What is the easiest way to find stepwise answers for Class 8 Maths Chapter 2 Power Play?

The most convenient way to access Class 8 Maths Chapter 2 Power Play stepwise answers is through Vedantu's NCERT Solutions page. These solutions are presented exercise-wise and follow the CBSE marking scheme, ensuring clarity and exam readiness. You can also download a free PDF for offline study directly from Vedantu.

3. Which questions are likely from this chapter in school exams?

For Class 8 Maths Chapter 2 Power Play, examiners often select questions that test your understanding of exponents, properties of powers, and their applications. Likely exam topics include:

Applying rules of exponents to simplify expressions
Solve numerical problems involving large and small numbers as powers
Definition-based short questions on powers
Diagram or concept-based questions on exponents

4. Are diagrams or definitions mandatory in answers for NCERT Solutions Class 8 Maths Chapter 2 Power Play?

Including definitions is often necessary in short answer questions, while diagrams may not be essential for Chapter 2 unless the question specifically asks for a representation of powers or exponentiation. Ensure clarity by starting with a definition if the problem demands, as per the CBSE marking scheme for NCERT Solutions Class 8 Maths Chapter 2 Power Play.

5. How do I structure long answers for better marks in Class 8 Maths Chapter 2 Power Play?

To earn maximum marks in long answer questions on Class 8 Maths Chapter 2 Power Play, organize your response as follows:

Start with a clear introduction stating key concepts or definitions
Show each calculation step-by-step, using the appropriate properties of powers
Highlight important formulae or rules applied
Conclude with the final answer in a box for clarity
Review for neatness and logical flow as per the CBSE marking scheme

6. Where can I download the chapter’s solutions PDF for NCERT Solutions Class 8 Maths Chapter 2 Power Play?

You can download the NCERT Solutions Class 8 Maths Chapter 2 Power Play PDF for free from Vedantu. The downloadable file includes stepwise, teacher-reviewed answers for every exercise and allows you to revise offline anytime. Access is provided exclusively via Vedantu's official website to ensure quality and alignment with the CBSE 2025–26 syllabus.

7. Which is the hardest chapter in class 8 maths?

While many students find some chapters more complex, NCERT Solutions Class 8 Maths Chapter 2 Power Play is generally considered accessible with focused practice. However, perception of difficulty varies, and consistent revision with Vedantu’s stepwise solutions makes mastering any chapter—including Power Play—much easier.

8. What are the most important topics from NCERT Solutions Class 8 Maths Chapter 2 Power Play?

Key topics in Chapter 2 – Power Play for Class 8 Maths include:

Definition and properties of exponents and powers
Laws of exponents—product, quotient, power of a power
Using exponents to express large and small numbers
Solving numerical problems involving powers
Application-based questions from the exercise and back questions

9. Is the fifth power of a number divisible by the cube of that number?

Yes, according to the properties explained in NCERT Solutions Class 8 Maths Chapter 2 Power Play, the fifth power of any number (a⁵) is always divisible by its cube (a³), since a⁵ divided by a³ equals a². Vedantu provides detailed explanations of such concepts in every exercise solution.

10. Do examiners award partial marks for correct steps even if the final answer is wrong?

Under the CBSE marking scheme highlighted on Vedantu for NCERT Solutions Class 8 Maths Chapter 2 Power Play, partial marks are typically awarded for correct steps and logical approach, even if the final answer contains a minor error. Always show all your steps to maximize your score.

11. How to quickly revise formulas for NCERT Solutions Class 8 Maths Chapter 2 Power Play?

To efficiently recall formulas for Chapter 2 Power Play in Class 8 Maths, start by creating a summary sheet listing:

All laws of exponents with short definitions
Representative solved examples from Vedantu’s solutions
Common pattern-based questions
Mark frequently used formulas for last-minute review

12. What is power in math class 8?

In mathematics, a power (as covered in NCERT Solutions Class 8 Maths Chapter 2 Power Play) refers to the expression involving an exponent, where a number is multiplied by itself a certain number of times. For example, 2³ means 2 multiplied three times (2×2×2 = 8). Vedantu’s solutions explain such basic concepts with clear definitions and examples for better understanding.