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Exponents — Revision Notes

ICSE · Class 7 · Mathematics

Exponents revision notes for ICSE Class 7 Mathematics: 4 topics in quick points. Part of the ICSE Class 7 Mathematics syllabus.

45 questions30 flashcards18 formulas & key relations5 concepts

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Key Topics to Revise

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.

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Full Notes

Key Concepts

In a power such as 3^5If n is a whole numberPowers are found by repeated multiplicationSome numbers can be written asFor the same base

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 Revision Notes

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