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Chapter Summary

Exponents — Chapter Summary

ICSE · Class 7 · Mathematics

Summary of Exponents for ICSE Class 7 Mathematics. Key concepts: In a power such as 3^5, If n is a whole number and Powers are found by repeated.

45 questions30 flashcards18 formulas & key relations5 concepts

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Overview

Exponents are a short way to write repeated multiplication. In an expression such as 3^5, the number 3 is the base and 5 is the index or exponent. This form helps write large numbers neatly and makes multiplication, division, and powers easier to handle. Exponents also include special rules for zero

Key Concepts

In a power such as 3^5

In a power such as 3^5, the repeated factor 3 is the base and 5 is the exponent. The exponent shows how many times the base is used as a repeated fact

If n is a whole number

If n is a whole number and a is any number, then a^n means a multiplied by itself n times. For example, 5^4 means 5 × 5 × 5 × 5.

Powers are found by repeated multiplication

Powers are found by repeated multiplication. For example, 2^6 = 64, 8^3 = 512, 5^6 = 15625, and 3^5 = 243.

Some numbers can be written as

Some numbers can be written as powers or products of powers. For example, 625 = 5^4, 32 = 2^5, 729 = 3^6, 288 = 2^5 × 3^2, 972 = 2^2 × 3^5, 1125 = 5^3

For the same base

For the same base, a^m × a^n = a^(m+n). The powers are added and the base stays the same.

Learning Objectives

  • Identify the base and exponent in an exponential expression
  • Write repeated multiplication in exponential form
  • Convert numbers into exponential form using prime factors
  • Evaluate expressions with exponents
  • Compare numbers written in exponential form

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.

More resources for Exponents

All ICSE Class 7 Mathematics Chapter Summary

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