NCERT Solutions for Class 8 Maths Chapter 2 Power Play provide clear, step-by-step answers to every exercise and in-text question from the chapter Power Play of the NCERT textbook Ganita Prakash. Prepared by subject experts as per the latest NCERT (CBSE) syllabus for 2026-27, these NCERT Solutions for Class 8 Maths help you understand each concept, write exam-ready answers, and check your own solutions. You can read them online below or download the free Class 8 Maths Chapter 2 question-answer PDF.
NCERT Solutions for Class 8 Maths Chapter 2 Power Play
- Class: Class 8
- Subject: Maths
- Chapter: Chapter 2 – Power Play
- Textbook: Ganita Prakash (NCERT)
- Study material: NCERT Solutions – questions with answers, free PDF
These solutions answer all the exercise questions of Chapter 2 Power Play — including the in-text questions, short-answer and long-answer questions, and activities — with complete explanations so you can follow the method, not just the final answer. Read the full solutions below.
NCERT Solutions Class 8 Maths Chapter 2 Power Play View Download
NCERT Solutions for Class 8 Maths Chapter 2 PDF Download
You can read the NCERT Solutions for Class 8 Maths Chapter 2 online above, or download the complete question-answer PDF to study Power Play offline at any time.
NCERT Solutions for Class 8 Maths Chapter 2 PDF Download Link – Click Here to Download Solutions PDF
Questions Covered in This Chapter
These NCERT Solutions answer all 96 questions of this chapter. The questions solved are:
- How many times can you fold it over and over?
- Say you can fold a sheet of paper as many times as you wish. What would its thickness be after 30 folds? Make a guess.
- Now, what do you think the thickness would be after 30 folds? 45 folds? Make a guess.
- Fill the table below. [Folds 18–26, 27–30 and 31–45]
- Notice the change in thickness after two folds. By how much does it increase?
- Which expression describes the thickness of a sheet of paper after it is folded 10 times? The initial thickness is represented by the letter-number v. (i) 10v (ii) 10 + v (iii) 2 × 10 × v (iv) 2¹⁰ (v) 2¹⁰v (vi) 10²v
- Express the number 32400 as a product of its prime factors and represent the prime factors in their exponential form.
- What is (– 1)⁵ ? Is it positive or negative? What about (– 1)⁵⁶ ?
- What is 0², 0⁵ ? What is 0ⁿ ?
- Is (– 2)⁴ = 16? Verify.
- Express the following in exponential form: (i) 6 × 6 × 6 × 6 (ii) y × y (iii) b × b × b × b (iv) 5 × 5 × 7 × 7 × 7 (v) 2 × 2 × a × a (vi) a × a × a × c × c × c × c × d
- Express each of the following as a product of powers of their prime factors in exponential form. (i) 648 (ii) 405 (iii) 540 (iv) 3600
- Write the numerical value of each of the following: (i) 2 × 10³ (ii) 7² × 2³ (iii) 3 × 4⁴ (iv) (– 3)² × (– 5)² (v) 3² × 10⁴ (vi) (– 2)⁵ × (– 10)⁶
- Three daughters with curious eyes, / Each got three baskets — a kingly prize. / Each basket had three silver keys, / Each opens three big rooms with ease. / Each room had tables — one, two, three, / With three bright necklaces on each, you see. / Each necklace had three diamonds so fine… / Can you count these stones that shine? [Hint: Find out the number of baskets and rooms.]
- How many rooms were there altogether?
- How many diamonds were there in total? Can we find out by just one multiplication using the products above?
- 3⁷ can also be written as 3² × 3⁵. Can you reason out why?
- Write the product p⁴ × p⁶ in exponential form.
- Use this observation to compute the following. (i) 2⁹ (ii) 5⁷ (iii) 4⁶
- Is 2¹⁰ also equal to (2⁵)² ? Write it as a product.
- Write the following expressions as a power of a power in at least two different ways: (i) 8⁶ (ii) 7¹⁵ (iii) 9¹⁴ (iv) 5⁸
- In the middle of a beautiful, magical pond lies a bright pink lotus. The number of lotuses doubles every day in this pond. After 30 days, the pond is completely covered with lotuses. On which day was the pond half full?
- If the pond is completely covered by lotuses on the 30th day, how much of it is covered by lotuses on the 29th day?
- Write the number of lotuses (in exponential form) when the pond was — (i) fully covered (ii) half covered
- There is another pond in which the number of lotuses triples every day. When both the ponds had no flowers, Damayanti placed a lotus in the doubling pond. After 4 days, she took all the lotuses from there and put them in the tripling pond. How many lotuses will be in the tripling pond after 4 more days?
- What if Damayanti had changed the order in which she placed the flowers in the lakes? How many lotuses would be there?
- Can this product be expressed as an exponent mⁿ, where m and n are some counting numbers?
- Use this observation to compute the value of 2⁵ × 5⁵.
- Simplify 10⁴/5⁴ and write it in exponential form.
- Estu has 4 dresses and 3 caps. How many different ways can Estu combine the dresses and caps?
- Roxie has 7 dresses, 2 hats, and 3 pairs of shoes. How many different ways can Roxie dress up? [Hint: Try drawing a diagram like the one above.]
- Estu and Roxie came across a safe containing old stamps and coins that their great-grandfather had collected. It was secured with a 5-digit password. Since nobody knew the password, they had no option except to try every password until it opened. They were unlucky and the lock only opened with the last password, after they had tried all possible combinations. How many passwords did they end up checking?
- How many 5-digit passwords are possible?
- Estu says, “Next time, I will buy a lock that has 6 slots with the letters A to Z. I feel it is safer.” How many passwords are possible with such a lock?
- Think about how many combinations are possible in different contexts. Some examples are — (i) Pincodes of places in India — The Pincode of Vidisha in Madhya Pradesh is 464001. The Pincode of Zemabawk in Mizoram is 796017. (ii) Mobile numbers. (iii) Vehicle registration numbers. Try to find out how these numbers or codes are allotted/generated.
- What is 2¹⁰⁰ ÷ 2²⁵ in powers of 2?
- Why can’t n be 0?
- Can we write 10³ = 1/10⁻³ ?
- We had required a and b to be counting numbers. Can a and b be any integers? Will the generalised forms still hold true?
- Write equivalent forms of the following. (i) 2⁻⁴ (ii) 10⁻⁵ (iii) (– 7)⁻² (iv) (– 5)⁻³ (v) 10⁻¹⁰⁰
- Simplify and write the answers in exponential form. (i) 2⁻⁴ × 2⁷ (ii) 3² × 3⁻⁵ × 3⁶ (iii) p³ × p⁻¹⁰ (iv) 2⁴ × (– 4)⁻² (v) 8ᵖ × 8ᵠ
- How many times larger than 4⁻² is 4²?
- Use the power line for 7 to answer the following questions. 2,401 × 49 = 49³ = 343 × 2,401 = 16,807/49 = 7/343 = 16,807/8,23,543 = 1,17,649 × 1/343 = 1/343 × 1/343 =
- Write these numbers in the same way: (i) 172, (ii) 5642, (iii) 6374.
- How can we write 561.903?
- Write the large-number facts we read just before in this form. [(i) The Sun is 30,00,00,00,00,00,00,00,00,000 m from the centre of our Milky Way galaxy. (ii) The number of stars in our galaxy is 1,00,00,00,00,000. (iii) The mass of the Earth is 59,76,00,00,00,00,00,00,00,00,00,000 kg.]
- Can you say which of the three distances is the smallest?
- The number line below shows the distance between the Sun and Saturn (1.4335 × 10¹² m). On the number line below, mark the relative position of the Earth. The distance between the Sun and the Earth is 1.496 × 10¹¹ m.
- Express the following numbers in standard form. (i) 59,853 (ii) 65,950 (iii) 34,30,000 (iv) 70,04,00,00,000
- What would be the worth (in rupees) of the donated jaggery? What would be the worth (in rupees) of the donated wheat?
- Make necessary and reasonable assumptions for the unknowns and find the answers. Remember, Roxie is 13 years old and Estu is 11 years old.
- Roxie wonders, “Instead of jaggery if we use 1-rupee coins, how many coins are needed to equal my weight?”. How can we find out?
- Would the number of coins be in hundreds, thousands, lakhs, crores, or even more? Make an instinctive guess.
- Find the answer by making necessary and reasonable assumptions and approximations for the unknowns. Remember, we are not looking for an exact answer but a reasonably close estimate.
- Estu asks, “What if we use 5-rupee coins or 10-rupee notes instead? How much money could it be?” Make an instinctive guess first. Then find out (make necessary and reasonable assumptions about the unknown details and find the answers).
- Estu says, “When I become an adult, I would like to donate notebooks worth my weight every year”. Roxie says, “When I grow up, I would like to do annadāna (offering grains or meals) worth my weight every year”. How many people might benefit from each of these offerings in a year? Again, guess first before finding out.
- Roxie and Estu overheard someone saying — “We did pādayātra for about 400 km to reach this place! We arrived early this morning.” How long ago would they have started their journey?
- How many times can a person circumnavigate (go around the world) the Earth in their lifetime if they walk non-stop? Consider the distance around the Earth as 40,000 km.
- Roxie tells Estu about a science-fiction novel she is reading where they build a ladder to reach the moon, “… I wonder if we actually had a ladder like that, how many steps would it have?”. What do you think? Make an instinctive guess first.
- Would the number of steps be in thousands, lakhs, crores, or even more?
- We have to find out how many 20 cm make 3,84,400 km.
- Can you come up with some examples of linear growth and of exponential growth?
- The estimated global population of starlings is around 1.3 arab/1.3 billion (_________). [Fill in the blank in scientific notation.]
- With a global human population of about 8 × 10⁹ and about 4 × 10⁵ African elephants, can we say that there are nearly 20,000 people for every African elephant?
- The estimated mosquito population worldwide (2023) is 11 neel/110 trillion (________). [Fill in the blank in scientific notation.]
- Calculate and write the answer using scientific notation: (i) How many ants are there for every human in the world?
- Calculate and write the answer using scientific notation: (ii) If a flock of starlings contains 10,000 birds, how many flocks could there be in the world?
- Calculate and write the answer using scientific notation: (iii) If each tree had about 10⁴ leaves, find the total number of leaves on all the trees in the world.
- Calculate and write the answer using scientific notation: (iv) If you stacked sheets of paper on top of each other, how many would you need to reach the Moon?
- “I’m ______ hours old!” said Roxie. Make an estimate before finding this number.
- “I am 69,70,710 … old”. What could this number mean? Find out!
- Estu: “I am 4070 days old today. Can you find out my date of birth?”
- If you have lived for a million seconds, how old would you be?
- 10⁵ seconds ≈ 1.16 days and 10⁶ seconds ≈ 11.57 days. Think of some events or phenomena whose time is of the order of (i) 10⁵ seconds and (ii) 10⁶ seconds. Write them in scientific notation.
- A fossil of Kelenken Guillermoi, a type of terror bird, is dated to 15 million years ago ( ≈_______________ seconds). [Fill in the blank.]
- Plants on land started 47 crore/470 million years ago ( ≈ _______________ seconds). [Fill in the blank.]
- Calculate and write the answer using scientific notation: (i) If one star is counted every second, how long would it take to count all the stars in the universe? Answer in terms of the number of seconds using scientific notation.
- Calculate and write the answer using scientific notation: (ii) If one could drink a glass of water (200 ml) every 10 seconds, how long would it take to finish the entire volume of water on Earth?
- What does the first part of each name denote? [million (10⁶), billion (10⁹), trillion (10¹²), quadrillion (10¹⁵), quintillion (10¹⁸), sextillion (10²¹), septillion (10²⁴), octillion (10²⁷), nonillion (10³⁰), decillion (10³³)]
- The currency note with the highest denomination in India currently is 2000 rupees. Guess what is the highest denomination of a currency note ever, across the world.
- Find out the units digit in the value of 2²²⁴ ÷ 4³²? [Hint: 4 = 2²]
- There are 5 bottles in a container. Every day, a new container is brought in. How many bottles would be there after 40 days?
- 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
- 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).
- 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) m⁵n¹²(mn)⁹
- If 12² = 144 what is (i) (1.2)² (ii) (0.12)² (iii) (0.012)² (iv) 120²
- Circle the numbers that are the same — 2⁴ × 3⁶ 6⁴ × 3² 6¹⁰ 18² × 6² 6²⁴
- Identify the greater number in each of the following — (i) 4³ or 3⁴ (ii) 2⁸ or 8² (iii) 100² or 2¹⁰⁰
- 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?
- 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?
- 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?
- 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
- 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.
- What was the date 1 arab/1 billion seconds ago?
- In Round 1, Roxie wrote 10000000000000 and Estu wrote 999999 × 999999. Between these two, Roxie’s number is greater. Can you see why?
- In Round 2, Roxie wrote 10¹⁰⁰⁰ + 10¹⁰⁰⁰ + 10¹⁰⁰⁰ + 10¹⁰⁰⁰ and Estu wrote (10¹⁰⁰⁰⁰⁰⁰) × 9000. Can you say which is greater?
Chapter at a Glance
- n a means n multiplied by itself a times. Here n is the base and a is the exponent (or power). 5 4 = 5 × 5 × 5 × 5 = 625.
- The five working rules: n a × n b = n a+b , (n a ) b = n ab , n a ÷ n b = n a–b , m a × n a = (mn) a and m a ÷ n a = (m ÷ n) a .
- n 0 = 1 and n –a = 1/n a (for n ≠ 0) are not extra rules — they are the only definitions that let n a ÷ n b = n a–b keep working when a = b or a < b.
- Exponential growth multiplies by a fixed factor at each step; linear growth adds a fixed amount. 46 folds reach the Moon, while 192.2 crore ladder steps are needed to do the same job.
- Scientific notation writes a number as x × 10 y with 1 ≤ x < 10 and y an integer. The exponent y tells you how big the number is; the digits of x say how precisely you know it.
- Powers of 10 give names to huge quantities: lakh 10 5 , crore 10 7 , arab 10 9 , kharab 10 11 , neel 10 13 , padma 10 15 ; million 10 6 , billion 10 9 , trillion 10 12 .
How to Download NCERT Solutions for Class 8 Maths Chapter 2 PDF
Follow these simple steps to get the Power Play questions-and-answers PDF from Ganita Prakash.
- Search NCERT Solutions for Class 8 Maths Chapter 2 aglasem and open this page.
- Read the exercise questions with answers for Power Play shown above.
- Click the Download PDF link to save the Power Play solutions to your device.
NCERT Solutions for Class 8 Maths – All Chapters
There are more chapters to study besides Power Play in Maths. Here are the NCERT Solutions for all chapters of Class 8 Maths.
- Chapter 1 A Square and a Cube
- Chapter 2 Power Play
- Chapter 3 A Story of Numbers
- Chapter 4 Quadrilaterals
- Chapter 5 Number Play
- Chapter 6 We Distribute Yet Things Multiply
- Chapter 7 Proportional Reasoning 1
- Chapter 8 Fractions in Disguise
- Chapter 9 The Baudh Yana Pythagoras Theorem
- Chapter 10 Proportional Reasoning 2
- Chapter 11 Exploring Some Geometric Themes
- Chapter 12 Tales By Dots and Lines
- Chapter 13 Algebra Play
- Chapter 14 Area
NCERT Solutions for Class 8 – All Subjects
Just like Chapter 2 of Maths, you can get the exercise questions with answers for every other subject of Class 8. Here are the NCERT Solutions for all subjects of Class 8.
NCERT Solutions for Class 8 Maths Chapter 2 – An Overview
The key highlights of this study material are as follows.
| Aspects | Details |
|---|---|
| Class | Class 8 |
| Subject | Maths |
| Chapter Number | Chapter 2 |
| Chapter Name | Power Play |
| Book Name | Ganita Prakash |
| Book By | NCERT (National Council of Educational Research and Training) |
| Educational Resource Here | NCERT Solutions of Class 8 Maths Chapter 2 for all exercises |
| More Questions Answers of This Subject | NCERT Solutions for Class 8 Maths |
| Download Book Chapter | NCERT Book Class 8 Maths |
| All Questions Answers For This Class | NCERT Solutions for Class 8 |
| Complete Solutions | NCERT Solutions |
NCERT Solutions for Class 8 Maths Chapter 2 Power Play – FAQs
What are the NCERT Solutions for Class 8 Maths Chapter 2 Power Play?
They are the complete, step-by-step answers to all the exercise and in-text questions of Chapter 2 Power Play from the NCERT Class 8 Maths textbook Ganita Prakash, written by experts as per the latest NCERT syllabus.
How can I download the Class 8 Maths Chapter 2 solutions PDF for free?
Open this page on aglasem, read the Power Play questions with answers, and click the “Download Solutions PDF” link. The Class 8 Maths Chapter 2 NCERT Solutions PDF is completely free to download.
Are these NCERT Solutions as per the latest 2026-27 syllabus?
Yes. The NCERT Solutions for Class 8 Maths Chapter 2 are based on the latest NCERT textbook Ganita Prakash and the current 2026-27 CBSE syllabus, so the questions and answers match what you study in class.
Where can I get NCERT Solutions for the other chapters of Class 8 Maths?
You can find the answers to every chapter on the NCERT Solutions for Class 8 Maths page, and solutions for every subject on the NCERT Solutions for Class 8 page.
How do NCERT Solutions help in exam preparation?
They show the correct method to solve each question, help you write answers the way they are expected in exams, let you check and correct your own work, and save revision time — which together improve your marks in Class 8 Maths.
If you have any queries on NCERT Solutions for Class 8 Maths Chapter 2 Power Play, then please ask in the comments below.
