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Exponents

ICSE · Class 7 · Mathematics

Quick revision notes for Exponents — ICSE Class 7 Mathematics. Key concepts, formulas, and definitions for last-minute revision.

45 questions30 flashcards5 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.
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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 Exponents - Comprehensive Concept Overview, Diagram showing the components of an exponential expression and how to interpret it, Step-by-step process of evaluating 2^6 by successive multiplication. These are the concepts ICSE Class 7 examiners draw on most — study them first, then practise related questions.
How to score full marks in Exponents — ICSE Class 7 Mathematics?
Understand the core concepts first, then work through the 45 practice questions available for this chapter. Revise formulas and 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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