Important Questions and Answers for Class 8 Maths Chapter 2 Power Play 2025-26

1. Multiple choice questions.

1. What will be the thickness of a paper of initial thickness $0.001$ cm after it is folded $10$ times?

• (a) $0.1024$ cm
• (b) $1.024$ cm
• (c) $10.24$ cm
• (d) $102.4$ cm

Answer: (b) $1.024$ cm.

2. After 30 folds, what is the approximate thickness of the paper?

• (a) $1.3$ km
• (b) $262$ cm
• (c) $10.7$ km
• (d) $107$ km

Answer: (c) $10.7$ km.

3. Which of the following is the exponential form of $5 \times 5 \times 7 \times 7 \times 7$?

• (a) $5^2 + 7^3$
• (b) $5^2 7^3$
• (c) $(5 \times 7)^{5}$
• (d) $5^3 + 7^2$

Answer: (b) $5^2 7^3$

4. The value of $(13^{-2})^{-3}$ is:

• (a) $13^6$
• (b) $13^{-5}$
• (c) $13^{-6}$
• (d) $13^3$

Answer: (a) $13^6$

2. Very Short Answer (VSA).

5. What is meant by exponential growth?

Answer: Exponential growth means a quantity increases by multiplying by a fixed number each time, like doubling after every fold. It grows much faster than linear or additive growth.

6. Express $a \times a \times a \times c \times c \times c \times c \times d$ in exponential form.

Answer: $a^3 c^4 d$

7. What is $0^n$, where $n$ is a positive integer?

Answer: $0^n = 0$ for any positive integer $n$.

8. What is the value of $2^0$?

Answer: $2^0 = 1$

9. Find the product in exponential form: $p^3 \times p^{-10}$

Answer: $p^{-7}$

3. Short Answer Questions.

10. Why does the thickness of a folded paper increase so rapidly with each fold? Explain using an example from the chapter.

Answer: Each fold doubles the thickness, so after $n$ folds the thickness is multiplied by $2^n$. For example, after $10$ folds, thickness becomes $0.001 \times 2^{10} = 1.024$ cm. This doubling effect causes exponential growth, making the thickness increase much faster than by addition.

11. Write $32400$ as a product of prime factors in exponential form.

Answer: $32400$ can be written as $2^4 \times 3^4 \times 5^2$ in exponential form. This means $2$ appears $4$ times, $3$ appears $4$ times, and $5$ appears $2$ times in the prime factorization.

12. Express the number $6374$ using the powers of $10$.

Answer: $6374 = 6 \times 10^3 + 3 \times 10^2 + 7 \times 10^1 + 4 \times 10^0$.

13. Convert $0.001\times 2^{7}$ to decimal value.

Answer: $2^7 = 128$; so $0.001 \times 128 = 0.128$ cm. After $7$ folds, the paper is $0.128$ cm thick.

14. What does scientific notation mean? Give an example from the chapter.

Answer: Scientific notation writes large numbers as $x \times 10^y$, where $1 \leq x < 10$ and $y$ is an integer. Example: $5900 = 5.9 \times 10^3$.

4. True or False Questions.

15. $n^0 = 1$ for any nonzero $n$.

Answer: True

16. Every exponential growth pattern is always additive.

Answer: False

17. $4^3$ is greater than $3^4$.

Answer: True

18. In $a^3b^2$, the exponent of $a$ is $3$.

Answer: True

3. Fill in the Blanks Questions.

19. $6 \times 6 \times 6 \times 6 = $______

Answer: $6^4$

20. The scientific notation for $308100000$ is ________.

Answer: $3.081 \times 10^8$

21. The value of $2^{-4} \times 2^{7}$ = _____

Answer: $2^3$

22. $10^{-2} \times 10^{-5} =$ ____

Answer: $10^{-7}$

23. If a number is both a square and a cube, then it is called a _____ power.

Answer: Sixth

How Exponents and Scientific Notation Help in Class 8 Maths

Learning powers and scientific notation in class 8 maths chapter 2 power play figure it out solutions makes large numbers simple. This chapter builds skills for writing, comparing, and simplifying huge or tiny values. Using power play questions and answers grows your confidence in maths.

Any student working on power play class 8 maths worksheet or searching for important questions class 8 maths chapter 2 power play worksheet will find these concepts very useful. Exponent rules make calculations faster and help with daily problem-solving.

Practice from important questions class 8 maths chapter 2 power play with answers and power play class 8 worksheet with answers helps you score better. These exercises also prepare you well for your exams and higher classes. Keep revising to understand every step confidently.