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Syllabus

Exponents — Syllabus

ICSE · Class 7 · Mathematics

What Exponents covers in ICSE Class 7 Mathematics: 4 topics, for the 2026-27 session. Part of the ICSE Class 7 Mathematics syllabus.

45 questions30 flashcards18 formulas & key relations5 concepts

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4 Topics · ICSE Class 7 Mathematics · 2026-27

Topics in Exponents

1

1. Basic Idea of Exponents

  • In a power like 3^5, 3 is the base and 5 is the index or exponent.
  • An exponent tells how many times the base is used as a repeated factor.
  • The plural of index is indices.
2

2. Exponential Form of Numbers

  • 625 = 5 × 5 × 5 × 5 = 5^4.
  • 32 = 2 × 2 × 2 × 2 × 2 = 2^5.
  • 729 = 3 × 3 × 3 × 3 × 3 × 3 = 3^6.
3

3. Laws of Exponents

  • First Law: same base multiplication means add the exponents.
  • Second Law: same base division means subtract the exponents.
  • Third Law: power raised to another power means multiply the exponents.
4

4. Zero Index, Negative Index, and Roots

  • Any non-zero base raised to power zero equals 1.
  • a^0 = 1 if a ≠ 0.
  • a^-m = 1/a^m and 1/a^-m = a^m when a ≠ 0.

Key Concepts

Central concept: Exponents as a compact way to write repeated multiplication

BaseIndex or ExponentExponential FormLaws of ExponentsSpecial IndicesNegative Base RulesRoots as ExponentsComparing Powers

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Frequently Asked Questions

What are the important topics in Exponents for ICSE Class 7 Mathematics?
Key topics in Exponents include Basic Idea of Exponents, Exponential Form of Numbers, Laws of Exponents, Zero Index, Negative Index, and Roots. Study these first, then practise questions on each for Class 7 exams.
How should I revise Exponents for Class 7 exams?
Learn the core ideas first, then work through the 45 practice questions on Exponents. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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All ICSE Class 7 Mathematics Syllabus

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