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Concept Maps

Exponents — Concept Maps

ICSE · Class 7 · Mathematics

4 concept maps of Exponents for ICSE Class 7 Mathematics, each also written out as a text outline. Part of the ICSE Class 7 Mathematics syllabus.

45 questions30 flashcards18 formulas & key relations5 concepts

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4 Concept Maps

Exponents - Comprehensive Concept Overview

Exponents - Comprehensive Concept Overview

The map in words

  • EXPONENTS
    • Basic Concepts
      • Definition and Notation
        • Base and Index
        • aⁿ = a × a × ... × a
      • Exponential Form
        • Converting numbers to powers
        • Prime factorization
      • Types of Bases
        • Positive numbers
        • Negative numbers
        • Fractions
    • Laws of Exponents
      • Product Law
        • aᵐ × aⁿ = aᵐ⁺ⁿ
        • Same base multiply
      • Quotient Law
        • aᵐ ÷ aⁿ = aᵐ⁻ⁿ
        • Same base divide
      • Power Law
        • (aᵐ)ⁿ = aᵐⁿ
        • Power of power
      • Composite Law
        • (ab)ᵐ = aᵐbᵐ
        • (a/b)ᵐ = aᵐ/bᵐ
    • Special Cases
      • Zero Exponent
        • a⁰ = 1
      • Negative Exponent
        • a⁻ᵐ = 1/aᵐ
      • Fractional Base
        • Numerator and denominator both raised
    • Applications
      • Evaluation
        • Direct calculation
        • Using laws efficiently
      • Problem Solving
        • Simplification
        • Finding unknown exponents

Diagram showing the components of an exponential expression and how to interpret it

Diagram showing the components of an exponential expression and how to interpret it

The map in words

  • Expression: 3^5
    • Base = 3
      • Number being multiplied
        • Means: 3 × 3 × 3 × 3 × 3
          • = 243
    • Exponent = 5
      • How many times to multiply

Step-by-step process of evaluating 2^6 by successive multiplication

Step-by-step process of evaluating 2^6 by successive multiplication

The map in words

  • Calculate 2^6
    • Step 1: 2 × 2 = 4
      • Step 2: 4 × 2 = 8
        • Step 3: 8 × 2 = 16
          • Step 4: 16 × 2 = 32
            • Step 5: 32 × 2 = 64
              • Answer: 2^6 = 64

Exponents as a compact way to write repeated multiplication

Exponents as a compact way to write repeated multiplication

The map in words

  • Exponents as a compact way to write repeated multiplication
    • Base
    • Index or Exponent
    • Exponential Form
    • Laws of Exponents
    • Special Indices
    • Negative Base Rules
    • Roots as Exponents
    • Comparing Powers

Explore these maps interactively

Explore Diagrams

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.
What do the concept maps for Exponents show?
The 4 maps show how the ideas in Exponents connect: Exponents - Comprehensive Concept Overview; Diagram showing the components of an exponential expression and how to interpret it. Each map is also written out as an outline on this page.
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.

More resources for Exponents

All ICSE Class 7 Mathematics Concept Maps

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