Skip to main content
Super TutorResources
Chapter 7 of 28
QuestionsNotesFlashcardsSummaryFormulasQuizConceptsSyllabusPlan
Syllabus

Indices

ICSE · Class 9 · Mathematics

Complete topic list for Indices in ICSE Class 9 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

35 questions24 flashcards5 concepts

Interactive on Super Tutor

Studying Indices? Get the full interactive chapter.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for syllabus and more.

Try Super Tutor — Free

1,000+ Class 9 students started this chapter today

A labeled diagram explaining the components of an exponential expression, showing the base, exponent (power/index), and the expanded form as repeated multiplication.
Super Tutor

This is just one of 5+ visuals inside Super Tutor's Indices chapter

Explore the full set
4 Topics · ICSE Class 9 Mathematics

Topics in Indices

1

1. Basic Idea of Indices

  • a^m denotes a multiplied by itself m times.
  • a is called the base.
  • m is called the power, exponent, or index.
2

2. Laws of Indices

  • Product Law combines powers with the same base by adding exponents.
  • Quotient Law divides powers with the same base by subtracting exponents.
  • Power Law raises a power to another power by multiplying exponents.
3

3. Powers of Products and Quotients

  • A power applied to a product is distributed to each factor.
  • A power applied to a quotient is distributed to the numerator and denominator.
  • These rules make expressions with brackets much easier to simplify.
4

4. Fractional Indices and Roots

  • The n-th root of a equals a^(1/n), for a ≠ 0 and n a positive integer.
  • Fractional index a^(m/n) equals the n-th root of a^m, for a ≠ 0.
  • Conversely, n-th root of a^m equals a^(m/n).

Key Concepts

Central concept: Indices are a way of writing repeated multiplication using a base and an exponent.

BasePower / Exponent / IndexIndex notationProduct LawQuotient LawPower LawPowers of products and quotientsFractional indices

Frequently Asked Questions

What are the important topics in Indices for ICSE Class 9 Mathematics?
Indices covers several key topics that are frequently asked in ICSE Class 9 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Indices — ICSE Class 9 Mathematics?
Understand the core concepts first, then work through the 35 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.

More resources for Indices

All 28 chapters — ICSE Class 9 Mathematics Syllabus

For serious students

Get the full Indices chapter — for free.

Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for ICSE Class 9 Mathematics.

Try Super Tutor Free
Try the full chapter — Free