Power Play — Class 8 MCQs with Answers
Class 8 CBSE Mathematics · Chapter 2
72 practice questions · 24 Easy · 24 Medium · 24 Hard · Updated
Practise the most important Class 8 CBSE Mathematics questions from Chapter 2, "Power Play". You get 9 timed quizzes made from 72 NCERT-based MCQs, with answers and explanations. The questions are split into 24 Easy, 24 Medium and 24 Hard. Warm up on the basics, then move on to the exam-level questions that top scorers in CBSE Board exams get right.
To score well in "Power Play", focus on fast problem-solving, formula recall and step-by-step working. Each MCQ here is timed and uses exam-style marking (+4 correct, −1 wrong, 0 skipped). This helps you stay accurate when time is short, just as real papers need. Every question has a short explanation, so a wrong answer becomes a quick lesson. It is the fastest way to fix gaps before a test.
Use this chapter for focused revision. Start with the Easy set to check your basics on Power Play, then move to Medium and Hard to practise applying them. Your accuracy, streaks and XP save automatically. This chapter also adds to your overall Class 8 Mathematics mastery score. 14 sample questions are solved in full below, with the answer and a worked explanation. Sign in free to start practising.
Power Play — important questions & MCQs with answers (Class 8 Mathematics)
14 solved questions from this chapter's difficulty levels, each with its answer and explanation.
- Q1Easy
What is the value of 2⁴?
A.8B.18C.16✓ CorrectD.14Answer: C. 16
Explanation: The exponent 4 means multiply the base 2 four times: 2×2×2×2 = 16. It is not 2×4 = 8 — the exponent counts factors, it does not multiply the base.
- Q2Easy
How many zeros are there in the number 10⁵?
A.4B.6C.10D.5✓ CorrectAnswer: D. 5
Explanation: A power of 10 is 1 followed by as many zeros as the exponent, so 10⁵ = 1,00,000 has exactly 5 zeros.
- Q3Easy
In standard (scientific) form x × 10ʸ, the number x must be:
A.any whole numberB.less than 1C.a multiple of 10D.at least 1 and less than 10✓ CorrectAnswer: D. at least 1 and less than 10
Explanation: In standard form x × 10ʸ the coefficient must satisfy 1 ≤ x < 10, so exactly one non-zero digit sits before the decimal point.
- Q4Easy
What is the value of 2⁵?
A.10B.34C.32✓ CorrectD.30Answer: C. 32
Explanation: 2⁵ multiplies five 2s together: 2×2×2×2×2 = 32. Don't compute 2×5 = 10 — the power tells you how many 2s to multiply, not to multiply by 5.
- Q5Easy
What is the value of 10⁶?
A.1,00,000B.1,00,00,000C.10,000D.10,00,000✓ CorrectAnswer: D. 10,00,000
Explanation: 10⁶ is 1 followed by six zeros = 10,00,000 (ten lakh). Match the number of zeros to the exponent 6.
- Q6Easy
Which of these is the correct standard form of 5900?
A.59 × 10²B.5.9 × 10²C.0.59 × 10⁴D.5.9 × 10³✓ CorrectAnswer: D. 5.9 × 10³
Explanation: Standard form keeps one non-zero digit before the decimal (1 ≤ x < 10): 5900 = 5.9 × 1000 = 5.9 × 10³. Forms like 59 × 10² have the right value but are not standard.
- Q7Medium
Express 648 as a product of prime powers.
A.2³ × 3⁴✓ CorrectB.2⁴ × 3³C.2³ × 3³D.2² × 3⁴Answer: A. 2³ × 3⁴
Explanation: Break 648 into primes: 648 = 8 × 81 = (2×2×2) × (3×3×3×3) = 2³ × 3⁴.
- Q8Medium
What is the value of 2 × 10³?
A.200B.2000✓ CorrectC.20000D.230Answer: B. 2000
Explanation: 10³ = 1000, so 2 × 10³ = 2 × 1000 = 2000. The exponent 3 gives three zeros, and the 2 multiplies just once.
- Q9Medium
Write 59,853 in standard form.
A.5.9853 × 10³B.59.853 × 10³C.5.9853 × 10⁵D.5.9853 × 10⁴✓ CorrectAnswer: D. 5.9853 × 10⁴
Explanation: Shift the decimal so one non-zero digit stays before it — here 4 places — giving 5.9853 × 10⁴, with the exponent equal to the number of places moved.
- Q10Medium
What is the value of 7⁵ ÷ 7⁵?
A.0B.7C.1✓ CorrectD.7¹⁰Answer: C. 1
Explanation: Dividing equal powers leaves exponent 0: 7⁵ ÷ 7⁵ = 7⁵⁻⁵ = 7⁰ = 1. Any non-zero number over itself is 1, not 0.
- Q11Medium
Using the laws of exponents, 2³ × 2⁴ equals:
A.2⁷✓ CorrectB.2¹²C.4⁷D.2⁵Answer: A. 2⁷
Explanation: When the base is the same, multiplying adds the exponents: 2³ × 2⁴ = 2³⁺⁴ = 2⁷. Don't multiply the exponents — that would wrongly give 2¹².
- Q12Hard
For a prime number q, is q⁴⁶ a perfect square?
A.No, neverB.Only if q = 2C.Yes, because 46 is even✓ CorrectD.Only if q is oddAnswer: C. Yes, because 46 is even
Explanation: q⁴⁶ = (q²³)², and any base raised to an even power is a perfect square, so q⁴⁶ is a perfect square for every prime q.
- Q13Hard
In the Indian number system, 1 arab equals:
A.10⁷B.10¹¹C.10⁹✓ CorrectD.10⁵Answer: C. 10⁹
Explanation: One arab is a hundred crore, 1,00,00,00,000 — that is 1 followed by nine zeros, so it equals 10⁹.
- Q14Hard
Write 3,08,10,000 in standard form.
A.3.081 × 10⁶B.30.81 × 10⁶C.3.081 × 10⁸D.3.081 × 10⁷✓ CorrectAnswer: D. 3.081 × 10⁷
Explanation: Written out, 3,08,10,000 is 30,810,000; put one digit before the decimal and count 7 shifts, giving 3.081 × 10⁷.
Key concepts: Power Play (Class 8 Mathematics)
This chapter turns repeated multiplication into short exponential notation and explores its power. You learn nᵃ (base and exponent), the laws that combine powers of the same base or the same exponent, what a zero or negative exponent means, and how powers of 10 let us write and compare huge and tiny numbers in scientific (standard) form. It also shows the difference between exponential (multiplicative) growth and linear (additive) growth.
- Exponential notation
- nᵃ means the base n multiplied by itself a times; a is the exponent (power). So 5⁴ = 5 × 5 × 5 × 5 = 625, where 5 is the base and 4 the exponent.
- Product law (same base)
- To multiply powers of the same base, keep the base and add the exponents: nᵃ × nᵇ = nᵃ⁺ᵇ. For example 2³ × 2⁴ = 2⁷.
- Quotient law (same base)
- To divide powers of the same base, keep the base and subtract the exponents: nᵃ ÷ nᵇ = nᵃ⁻ᵇ (n ≠ 0). For example 2⁷ ÷ 2³ = 2⁴.
- Power of a power
- Raising a power to another power multiplies the exponents: (nᵃ)ᵇ = nᵃᵇ. Because a × b = b × a, (2⁵)² and (2²)⁵ are both 2¹⁰.
- Same exponent, different bases
- Powers with the same exponent combine through their bases: nᵃ × mᵃ = (n × m)ᵃ and nᵃ ÷ mᵃ = (n ÷ m)ᵃ. So 2³ × 5³ = 10³ = 1000.
- Zero exponent
- Any non-zero number raised to the power 0 equals 1: n⁰ = 1. This follows from nᵃ ÷ nᵃ = nᵃ⁻ᵃ = n⁰.
- Negative exponent
- A negative exponent means the reciprocal, not a negative value: n⁻ᵃ = 1/nᵃ. So 2⁻³ = 1/8, which is still positive.
- Powers of ten & place value
- Every place in a number is a power of 10, so numbers expand as sums of digit × power of ten: 47561 = 4 × 10⁴ + 7 × 10³ + 5 × 10² + 6 × 10¹ + 1 × 10⁰.
- Scientific (standard) form
- A number written as x × 10ʸ with 1 ≤ x < 10 and y a whole number. The exponent y captures the size, so 30810000 = 3.081 × 10⁷.
- Prime factorisation in powers
- Every whole number is a product of prime powers, written compactly with exponents: 32400 = 2⁴ × 3⁴ × 5² and 648 = 2³ × 3⁴.
- Exponential vs linear growth
- Linear growth adds a fixed amount each step (20 + 20 + 20 …) while exponential growth multiplies each step (doubling). Doubling paper 46 times reaches the Moon — the power of multiplicative growth.
- Names for large numbers
- Powers of ten name big numbers: a lakh is 10⁵, a crore 10⁷, an arab 10⁹; a million is 10⁶, a billion 10⁹, and a googol is 10¹⁰⁰.
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Start this chapter free →Power Play — FAQs
What are the key concepts in Class 8 Mathematics Power Play?+
This chapter turns repeated multiplication into short exponential notation and explores its power. You learn nᵃ (base and exponent), the laws that combine powers of the same base or the same exponent, what a zero or negative exponent means, and how powers of 10 let us write and compare huge and tiny numbers in scientific (standard) form. It also shows the difference between exponential (multiplicative) growth and linear (additive) growth. Key ideas include Exponential notation, Product law (same base), Quotient law (same base), Power of a power, Same exponent, different bases, Zero exponent.
What does Class 8 Mathematics Chapter 2 (Power Play) cover on XamBaaz?+
It has 72 NCERT-based MCQs on "Power Play": 24 Easy, 24 Medium and 24 Hard. Together they make 9 timed quizzes, and you never get the same set twice. Every question has an instant explanation. They help you prepare for CBSE Board exams.
Are these "Power Play" questions free to practise?+
Yes. Sign in with Google to practise "Power Play" free. Full unlimited access is ₹999/year. One year from the day you pay. You stay in Class 8 till 31 March; on 1 April your account moves up to Class 9 and the rest of your year carries over. No chapter is charged separately.
How should I revise "Power Play" for the exam?+
Start with the Easy quiz to check your basics, then try Medium and Hard to practise applying them. There are 9 timed quizzes on this chapter, so you can come back for a fresh set instead of one you have seen. Read each explanation, retry the questions you miss, and track your accuracy until it stays high.
Are these "Power Play" MCQs available with answers?+
Yes. 14 sample questions are shown here in full, each with the correct option and a step-by-step "Why" explanation. Sign in free with Google to start practising, with instant scoring.
Is there negative marking in the "Power Play" quizzes?+
Yes. The timed quizzes use exam-style marking: +4 for a right answer, −1 for a wrong one and 0 for a skip. MHT-CET and CBSE board papers have no negative marking. Our mocks for those are scored their way.
What are the important questions from Power Play (Class 8 Mathematics)?+
The questions that matter most test Exponential notation, Product law (same base), Quotient law (same base), Power of a power, Same exponent, different bases, Zero exponent. This page shows 14 solved important MCQs with answers and explanations. Sign in to practise all 72 questions on the chapter as timed quizzes.
Is there an online quiz for Power Play?+
Yes — Class 8 Mathematics Power Play has timed online quizzes at Easy, Medium and Hard levels, with instant scoring and a worked explanation on every question. The first quiz on the chapter is free.