logo

Learning objective

Comprehend and apply indices, including positive, zero, negative, and fractional values. For example, solve equations like x • 32 = 2 x + 1 and x • 5 = 25. Additionally, grasp and utilize the rules governing indices, such as simplifying expressions like 2^3 - 4^1 • x or x^2 • x^3 • x^2 • x^(-2) • x^5. Note that knowledge of logarithms is not necessary.

Read the explanation, check the common trap, then practise with flashcards and questions.

Exam focus

  • Read the explanation.
  • Check key terms.
  • Practise with linked questions.
Cambridge IGCSE MathematicsExtended Algebra and graphsSupplement content

Study support

Understand this objective

Quick explanation

Comprehend and apply indices, including positive, zero, negative, and fractional values. For example, solve equations like x • 32 = 2 x + 1 and x • 5 = 25. Additionally, grasp and utilize the rules governing indices, such as simplifying expressions like 2^3 - 4^1 • x or x^2 • x^3 • x^2 • x^(-2) • x^5. Note that knowledge of logarithms is not necessary

  • This point belongs to Indices II, especially Indices II outcomes.
  • You need to be able to comprehend and apply indices, including positive, zero, negative, and fractional values. For example, solve equations like x • 32 = 2 x + 1 and x • 5 = 25. Additionally, grasp and utilize the rules governing indices, such as simplifying expressions like 2^3 - 4^1 • x or x^2 • x^3 • x^2 • x^(-2) • x^5. Note that knowledge of logarithms is not necessary.
  • The key ideas to know are Calculate, Determine, and Show.
  • Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.

Key concepts

CalculateDetermineShowExplain

Why it matters

This objective helps connect Indices II outcomes to exam-style questions, flashcards, and revision notes for Indices II.

Revision tools

Choose how to practise

Back to topic hub
Flashcards10 linked cards

Flashcard 1 of 10

Press Space to flip, arrows to move
Practice Questions7 linked questions

Question 1 of 7

Choose an answer, get feedback, then move sideways through the set.

0 of 5 attempted

Paper 2 structured question: Indices II

Paper 2Core or Extended Mathematics3 marks

Description

Equation with indices

Solve for x in the equation: x × 5 = 25.

  1. a

    Calculate Find the value of x.

    Aim for approximately 3 distinct marking points.

    [3]
Revision notestopic notes

Open the full topic revision notes when you are ready to review this objective in context.

Open revision notes

Related learning objectives

No linked resources are published for this section yet.

Revision hubs

Move back to a broader study route