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
Jump to the 6 solved questions
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 top scorers in CBSE Board exams get right.
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 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 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. Try the 6 sample questions below: tap an option to see the answer and a worked explanation. Sign in free to start practising.
Exponents and Powers — important questions & MCQs with answers (Class 8 Mathematics)
6 solved questions from this chapter's difficulty levels, each with its answer and explanation. Tap an option to check yourself.
0 of 6 answered
- Q1 of 6Easy
aᵐ · aⁿ =
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Answer: aᵐ⁺ⁿ
Explanation: Add powers.
- Q2 of 6Easy
In 6.2 × 10⁵, the exponent of 10 is:
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Answer: 5
Explanation: The power to which 10 is raised is 5.
- Q3 of 6Medium
2⁻³ =
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Answer: 1/8
Explanation: a⁻ⁿ = 1/aⁿ.
- Q4 of 6Medium
Scientific notation of 5,300,000:
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Answer: 5.3 × 10⁶
Explanation: One non-zero digit before decimal.
- Q5 of 6Hard
aᵐ ÷ aⁿ =
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Answer: aᵐ⁻ⁿ
Explanation: Subtract powers.
- Q6 of 6Hard
(3 × 10⁵) × (2 × 10⁻³) =
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Answer: 6 × 10²
Explanation: Multiply mantissas (3 × 2 = 6) and add exponents (5 + (−3) = 2): 6 × 10².
Exponents and Powers notes: key concepts (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.
- Comparing magnitudes
- Standard form makes it easy to compare extremely large and small quantities.
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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, Comparing magnitudes.
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. 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 "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. 6 sample questions are on this page with answers: tap an option, or "Show answer", to see the correct option and a step-by-step 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, Comparing magnitudes. This page shows 6 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 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.
Are there question answers and extra questions for Exponents and Powers (Class 8 Mathematics)?+
Yes. This page has 6 solved questions on Exponents and Powers, each with the correct answer and a short explanation. Sign in to practise all 72 questions on the chapter as timed quizzes.