Exponents and Powers

JCERT · Class 8 · Chapter 4 · Exponents and Powers. Syllabus-aligned topic notes and teaching examples, not a complete textbook answer key.

Take Chapter CBT Test View All Chapters JCERT book — chapter source issue

Overview Core Concepts Formulas & Identities Solved Examples Summary Self Check Take MCQ Test

Why This Chapter Matters

JCERT · Class 8 · Chapter 4 · Exponents and Powers. Syllabus-aligned topic notes and teaching examples, not a complete textbook answer key.

Before You Begin (Prerequisites)

Revise the relevant ideas from the previous grade.

What You Will Learn (Core Objectives)

Negative integer exponents denote reciprocals and require a nonzero base. Add exponents for equal-base multiplication and subtract them for division. Scientific notation uses a coefficient from1 inclusive to10 exclusive; small numbers can have negative powers of ten.

Chapter Roadmap & Progression

1 Syllabus, textbook and notes alignm...

2 Concept and method

3 Check and common pitfall

Complete Concept Guide (100% Curriculum Coverage)

Syllabus, textbook and notes alignment

JCERT · Regular schools (Non-SOE) · Class 8 · Chapter 4 — Exponents and Powers
Official syllabus pages 78–86. Official syllabus · Prescribed Hindi book (17 chapters).

These topic notes and teaching examples are not a complete answer key to every textbook exercise. English notes use this same JCERT chapter order; a matching English textbook PDF has not been verified.

Source issue: this chapter’s original DIKSHA PDF is damaged. These are syllabus-aligned topic notes; complete source-question coverage and solutions have not been verified.

Concept and method

Negative integer exponents denote reciprocals and require a nonzero base. Add exponents for equal-base multiplication and subtract them for division. Scientific notation uses a coefficient from1 inclusive to10 exclusive; small numbers can have negative powers of ten.

Check and common pitfall

A negative exponent does not make the value negative.

Key Formulas, Identities & Theorems

Key relationships

$$a^(−n)=1/a^n; a^m/a^n=a^(m−n),a≠0$$

Observe formula conditions and units.

Conceptual Solved Examples & Case Studies

Example 1

Evaluate 2^(−3) and express 0.00045 in scientific notation.

Step-by-Step Solution:

2^(−3)=1/8; 0.00045=4.5×10^(−4)

A negative exponent does not make the value negative.

Finished Studying This Chapter?

READY TO PRACTICE?

Timed CBT Practice Tests (Exam Simulator)

Put your concepts to the test with official curriculum-aligned Foundation and Advanced practice tests. Get instant accuracy scores, time metrics, and step-by-step verified explanations.

Foundation Test

15 MCQs • Core Concepts

Advanced Test

15 MCQs • HOTS & Traps