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Learning objective

Understand and apply indices, including positive, zero, negative, and fractional values. For example, calculate values such as 2^6 = 64 and 4^-2 = 1/16. Additionally, utilize the rules of indices to solve expressions like 2^-3 × 2^4, (2^3)^2, and 2^3 ÷ 2^4.

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 NumberSupplement content

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Quick explanation

Understand and apply indices, including positive, zero, negative, and fractional values. For example, calculate values such as 2^6 = 64 and 4^-2 = 1/16. Additionally, utilize the rules of indices to solve expressions like 2^-3 × 2^4, (2^3)^2, and 2^3 ÷ 2^4

  • This point belongs to Indices I, especially Indices I outcomes.
  • You need to be able to understand and apply indices, including positive, zero, negative, and fractional values. For example, calculate values such as 2^6 = 64 and 4^-2 = 1/16. Additionally, utilize the rules of indices to solve expressions like 2^-3 × 2^4, (2^3)^2, and 2^3 ÷ 2^4.
  • 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

CalculateDetermineShowWork out

Why it matters

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

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Practice Questions7 linked questions

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Paper 2 structured question: Indices I

Paper 2Core or Extended Mathematics3 marks

Description

Indices Calculation

Calculate the following expressions using the rules of indices: 1. 3^4 2. 2^-3 × 2^5

  1. a

    Calculate Find the value of 3^4.

    Aim for approximately 1 distinct marking point.

    [1]
  2. b

    Calculate Evaluate 2^-3 × 2^5.

    Aim for approximately 2 distinct marking points.

    [2]
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