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Class 8 Mathematics — Chapter 10: Exponents and Powers

72 practice questions · 24 Easy · 24 Medium · 24 Hard

Practise Class 8 Mathematics Chapter 10, "Exponents and Powers", with 72 NCERT-aligned multiple-choice questions. The set is split into 24 Easy, 24 Medium and 24 Hard questions, so you can warm up on the fundamentals and then push into the exam-level problems that separate top scorers in CBSE Board exams.

"Exponents and Powers" is one of the chapters where problem-solving speed, formula recall and step-by-step reasoning really pays off. Each MCQ on this chapter is timed and uses exam-grade marking (+2 correct, −1 wrong, 0 skipped), training the same accuracy-under-pressure that real papers demand. Every question carries a short explanation, so a wrong answer becomes a quick lesson rather than a dead end — the fastest way to close gaps before a test.

Use this chapter as targeted revision: attempt the Easy set first to confirm your basics on Exponents and Powers, then move to Medium and Hard to test application and problem-solving. Your accuracy, streaks and XP save automatically, and the chapter feeds into your overall Class 8 Mathematics mastery score. A few sample questions are shown below; sign in free to practise all 72.

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.
Comparing magnitudes
Standard form makes it easy to compare extremely large and small quantities.

Key formulas — Exponents and Powers

Negative exponent
a⁻ⁿ = 1 / aⁿ
Product & power laws
aᵐ·aⁿ = aᵐ⁺ⁿ; (aᵐ)ⁿ = aᵐⁿ; a⁰ = 1

💡 Exam tips for Exponents and Powers

  • Any non-zero number raised to the power 0 equals 1.
  • In standard form k × 10ⁿ, the coefficient k must satisfy 1 ≤ k < 10.

Sample questions

Q1Easy

Value of 10⁻¹ is:

A.−10
B.1/10✓ correct
C.10
D.1
Why

10⁻¹ = 1/10¹ = 1/10.

Q2Medium

2⁻³ =

A.8
B.−8
C.1/8✓ correct
D.1/3
Why

a⁻ⁿ = 1/aⁿ.

Q3Hard

aᵐ ÷ aⁿ =

A.aᵐⁿ
B.aᵐ⁺ⁿ
C.aᵐ⁻ⁿ✓ correct
D.a
Why

Subtract powers.

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 10 (Exponents and Powers) cover on XamBaaz?+

It covers 72 NCERT-aligned MCQs on "Exponents and Powers" — 24 Easy, 24 Medium and 24 Hard — each with a timed quiz and an instant explanation, suitable 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 (limited-time launch price), with no per-chapter charges.

How should I revise "Exponents and Powers" for the exam?+

Start with the Easy quiz to confirm your fundamentals, then attempt Medium and Hard for application-level practice. Review each explanation, retry the questions you miss, and track your accuracy on this chapter until it is consistently high.

Practise all 72 questions free

Timed quizzes, instant scoring, streaks and XP. Sign in with Google — no card needed.

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