Exponents and Powers — Class 8 MCQs with Answers
Class 8 CBSE Mathematics · Chapter 110
Pre-2026 syllabusThis chapter is from the older NCERT book. See the 2026-27 Class 8 Mathematics chapters →
72 practice questions · 24 Easy · 24 Medium · 24 Hard · Updated
Practise the most important Class 8 CBSE Mathematics questions from Chapter 110, "Exponents and Powers". 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 set top scorers in CBSE Board exams apart.
To score well in "Exponents and Powers", 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 trains you to stay accurate under time pressure, 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 Exponents and Powers, 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.
Key concepts: Exponents and Powers (Class 8 Mathematics)
This chapter extends exponents to negative powers, develops the laws of exponents, and uses them with standard (scientific) notation.
- Negative exponents
- a⁻ⁿ = 1/aⁿ; a negative power means the reciprocal.
- Laws of exponents
- aᵐ × aⁿ = aᵐ⁺ⁿ, aᵐ ÷ aⁿ = aᵐ⁻ⁿ, (aᵐ)ⁿ = aᵐⁿ, and a⁰ = 1.
- Power of a product/quotient
- (ab)ⁿ = aⁿbⁿ and (a/b)ⁿ = aⁿ/bⁿ.
- Standard form
- Very large or very small numbers are written as k × 10ⁿ with 1 ≤ k < 10.
Exponents and Powers — important questions & MCQs with answers (Class 8 Mathematics)
14 solved questions from this chapter's difficulty levels, each with its answer and explanation. The other 58 are timed and scored when you sign in.
- Q1Easy
aᵐ · aⁿ =
A.aᵐ⁻ⁿB.aᵐ⁺ⁿ✓ CorrectC.aᵐⁿD.aAnswer: B. aᵐ⁺ⁿ
Explanation: Add powers.
- Q2Easy
In 6.2 × 10⁵, the exponent of 10 is:
A.6.2B.10C.5✓ CorrectD.2Answer: C. 5
Explanation: The power to which 10 is raised is 5.
- Q3Easy
Value of a⁰ is:
A.aB.0C.1✓ CorrectD.undefinedAnswer: C. 1
Explanation: (a≠0) any number to power 0 is 1.
- Q4Easy
Standard form of 4000 is:
A.40 × 10²B.4 × 10³✓ CorrectC.4 × 10⁴D.4 × 10²Answer: B. 4 × 10³
Explanation: 4000 = 4 × 1000 = 4 × 10³.
- Q5Easy
Value of 3⁻² is:
A.1/9✓ CorrectB.9C.−9D.1/6Answer: A. 1/9
Explanation: 3⁻² = 1/3² = 1/9.
- Q6Easy
Standard form of 0.001 is:
A.1 × 10³B.10 × 10⁻³C.1 × 10⁻²D.1 × 10⁻³✓ CorrectAnswer: D. 1 × 10⁻³
Explanation: 0.001 = 1/1000 = 1 × 10⁻³.
- Q7Medium
2⁻³ =
A.8B.−8C.1/8✓ CorrectD.1/3Answer: C. 1/8
Explanation: a⁻ⁿ = 1/aⁿ.
- Q8Medium
Scientific notation of 5,300,000:
A.53 × 10⁵B.5.3 × 10⁶✓ CorrectC.5.3 × 10⁵D.0.53 × 10⁷Answer: B. 5.3 × 10⁶
Explanation: One non-zero digit before decimal.
- Q9Medium
Simplify 3⁴ × 3⁻² :
A.3²✓ CorrectB.3⁶C.3⁻⁸D.9⁻²Answer: A. 3²
Explanation: Add exponents: 3⁴⁺⁽⁻²⁾ = 3².
- Q10Medium
Express 0.00045 in standard form:
A.4.5 × 10⁴B.45 × 10⁻⁵C.4.5 × 10⁻³D.4.5 × 10⁻⁴✓ CorrectAnswer: D. 4.5 × 10⁻⁴
Explanation: Move the decimal 4 places right: 4.5 × 10⁻⁴.
- Q11Medium
Simplify 2⁻³ ÷ 2⁻⁵ :
A.2⁻⁸B.2⁸C.2⁻²D.2²✓ CorrectAnswer: D. 2²
Explanation: Subtract exponents: 2⁻³⁻⁽⁻⁵⁾ = 2².
- Q12Hard
aᵐ ÷ aⁿ =
A.aᵐⁿB.aᵐ⁺ⁿC.aᵐ⁻ⁿ✓ CorrectD.aAnswer: C. aᵐ⁻ⁿ
Explanation: Subtract powers.
- Q13Hard
(3 × 10⁵) × (2 × 10⁻³) =
A.6 × 10⁸B.6 × 10⁻¹⁵C.5 × 10²D.6 × 10²✓ CorrectAnswer: D. 6 × 10²
Explanation: Multiply mantissas (3 × 2 = 6) and add exponents (5 + (−3) = 2): 6 × 10².
- Q14Hard
(aᵐ)ⁿ =
A.aᵐⁿ✓ CorrectB.aᵐ⁺ⁿC.aᵐ⁻ⁿD.aAnswer: A. aᵐⁿ
Explanation: Multiply powers.
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Start this chapter free →Exponents and Powers — FAQs
What are the key concepts in Class 8 Mathematics Exponents and Powers?+
This chapter extends exponents to negative powers, develops the laws of exponents, and uses them with standard (scientific) notation. Key ideas include Negative exponents, Laws of exponents, Power of a product/quotient, Standard form.
What does Class 8 Mathematics Chapter 110 (Exponents and Powers) cover on XamBaaz?+
It has 72 NCERT-based MCQs on "Exponents and Powers": 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 "Exponents and Powers" questions free to practise?+
Yes. Sign in with Google to practise "Exponents and Powers" free. Full unlimited access is ₹999/year on a launch offer until 1 December 2026. No chapter is charged separately.
How should I revise "Exponents and Powers" 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 "Exponents and Powers" 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 "Exponents and Powers" 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 Exponents and Powers (Class 8 Mathematics)?+
The questions that matter most test Negative exponents, Laws of exponents, Power of a product/quotient, Standard form. This page shows 14 solved important MCQs with answers and explanations; all 72 questions on the chapter are available as timed quizzes once you sign in.
Is there an online quiz for Exponents and Powers?+
Yes — Class 8 Mathematics Exponents and Powers 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.